SECTION - A Objective Type Questions (Position, Path length and Displacement, Average Velocity and Average Speed) 1. Acar moves with speed 60 km/h for 4hour in east direction and with same speed for 30 min 'n south direction. The displacement of car from initial position is (1) 60 km (2) 30/3 km (3) 3045 km (4) 6012 km 2. A particle is moving along a circle such that 't completes one revolution in 40 seconds. In lispl 2 minutes 20 seconds, the ratio !'SPlacement| distance is 4. (1) 0 2) > 2 1 @ 4 ws 3. Consider the motion of the tip of the second hand of a clock. In one minute (R be the length of second hand), its (1) Displacement is 2x8 (2) Distance covered is 2R (3) Displacement is zero (4) Distance covered is zero 4 A particle moves along x-axis with speed 6 mis for the first half distance of a journey and the second half distance with a speed 3 mis. The average speed in the total journey is (1) 5 mis (2) 4.5 mis (3) 4 mis (4) 2 mis a ®, Pusa Road, New Delhi-H10005: Phe YOHTA762S4S6 SD) ‘A person travels along a straight road for the first 3 time with a speed v, and for next 2 «time 3 with @ speed v. Then the mean speed vis given by Vy +2v2 7 1 2 1) y= tee VWs a 3 sre averars ig V. 8) v= 3 ay, (4) v= 52 Vyas)" DXi Figure shows the graph of x Coordinate of a particle moving along x-axis as a function of ime. Average velocity during t = 0 to 6 s and instantaneous velocity at t= 3s respectively, will be x(m) 20 10: 1) OMezea. 4 5 6 (1) 10 mis, 0 (2) 60 ms, 0 (3) 0,0 (4) 0, 10 mis Position-time graph for a particle is shown in figure. Starting from t = 0, at what time t, the average velocity is zero? x(m): rr) | a 1 4 5 4 3| 3| Catset ema) (1) 1s aes (a)6s (7s444) Motion in a Straight Line 8. The position of @ body moving along x-axis | 15 at time t is given by x= (f= 4¢ + 6) m. The Gistance travelled by body in time interval f = 0 tore3sis (2) 7m (sm (4) 3m @am instantaneous Velocity and Speed, Acceleration) ‘A body in one dimensional motion has zero Speed at an instant. At that instant, it must have 16. 8 (1) Zero velocity (2) Zero acceleration (3) Non-zero velocity (4) Non-zero acceleration if @ particle is moving along straight line with increasing speed, then (1) Its acceleration is negative (2) Its acceleration may be decreasing 17. 40) 18, {@) Its acceleration is positive (4) Both (2) & (3) ‘At any instant, the velocity and acceleration of a particle moving along a straight line are v and a. The speed of the particle is increasing if (1) v>0,a>0 (2) v<0,a>0 (3) v>0,a<0 (4) v>0,a=0 If magnitude of average speed and average velocity over a time interval are same, then (1) The particle must move with zero acceleration (2) The particle must move with non-zero acceleration (3) The particle must be at rest (4) The particle must move in a straight line without turning back 18 vis the velocity of a body moving along x-axis, then acceleration of body is 0% 1" 19) 12. 20. a (2) ve i) du 8) xy (4) ve !f'@ body is moving with constant speed, then its acceleration ae (1) Must be Board & Competitive Exams (Lovey ) When the velocity of body is variable, then (1) Its speed may be constant (2) Its acceleration may be constant (3) Its average acceleration may be constant (4) All of these ‘An object is moving with variable speed, then (1) Its velocity may be zero (2) Its velocity must be variable (8) Its acceleration may be zero (4) Its velocity must be constant The position of a particle moving along x-axis is given by x = 10f - 2f°. Then the time (f) at which it will momently come to rest is (1) 0 (2) 25s (3) 5s (4) 10s If the displacement of a particle varies with time as 4x =t+7, then (1) Velocity of the particle is inversely proportional to t (2) Velocity of the particle is proportional to ef (3) Velocity of the particle is proportional to tt (4) The particle moves with constant acceleration The initial velocity of a particle is u (at t = 0) and the acceleration a is given by af**. Which of the following relations is valid? Saf? (1) veutat? @) v=u+=- (3) veu+2at? (4) veut af? The position x of particle moving along x-axis, varies with time t as x = Asin (of) where A and © are positive constants. The acceleration a of particle varies with its position (x) as (1) a=Ax (2) a=-o%x (3) a = Awx (4) a=0°xA A body is moving with variable acceleration (8) along a straight line. The average acceleration of body in time interval t, to t, is alt, +t -t «y Sel alts-t) ; as j bth (3) Delhi-110005. Phone : 011476234568 (Level!) 32. The position of @ particle moving along x-axis =(-2r+ +5)m. The acceleration ven by x = (20 + 3f +5). Orparticle at the Instant its velocity bacomos zero is f (1) 12 mvs (2) -12 ws* (8) 6 mvs! (4) Zero A paiticle move with velocity v, for time f, and v, for time f along a straight line, The magnitude of its average acceleration is Vo~ Vy Ve~ Vy 2) arers (2) ete th vty, 2 @ 4 tot {Kinematic Equations for Uniformly Accelerated Motion) 24. The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point. of the train passes the same point is 3 4 3 (1) 2u (2) Qu (3) Su (4) A0u 25. A car travelling at a speed of 30 kmih is brought to rest in a distance of 8 m by applying brakes. If the same car is moving at a speed of 60 km/h then it can be brought to rest with same brakes in (1) 64m (2) 32m (3) 16m (4) 4m 26. A train starts from rest from a station with acceleration 0.2 m/s* on a straight track and then comes to rest after attaining maximum speed on another station due to retardation 0.4 m/s’. If total time spent is half an hour, then distance between two stations is (Neglect length of train] (1) 246 km (2) 512 km (3) 728 km (4) 1296 km 27. A particle start moving from rest state along a ‘straight line under the action of a constant force and travel distance x in first 5 seconds, The distance travelled by it in next five seconds will be (1) x (2) 2x (3) 3x (4) 4x with acceleration 2 m/s’, ‘second is 29. 30, si 32. 33, 34, Motion in a Straight Line 115 (1) 1.25 m (3) 6.25 m (2) 225 m (4) 30.25 m ‘A body is projected vertically from the surface of earth. if upward direction is taken as positive, then acceleration of body during its upward and downward jouney ary respectively (1) Positive, negative (3) Positive, positive 'Y Upward direction (2) Negative, negative (4) Negative, positive A body is projected vertically upward with speed 40 mis. The distance travelled by body in the last second of upward journey is {take g = 98 mis* and neglect effect of air resistance} (1) 4.9m (2) 98m (3) 124m (4) 196 m A body is projected vertically upward with speed 10 mis and other at same time with same speed in downward direction from the top of a tower. ‘The magnitude of acceleration of first body wrt. second is {take g = 10 m/s’) (1) Zero (2) 10 ms* (3) 5 ms? (4) 20 mis* A particle is thrown with any velocity vertically upward, the distance travelled by the particle in first second of its decent is ag (2) (3) (4) Cannot be calculated A body is thrown vertically upwards and takes 5 seconds to reach maximum height. The distance travelled by the body will be same in (1) 1" and 10” second (2) 2“ and 8° second (3) 4" and 6" second (4) Both (2) & (3) A ball is dropped from a bridge of 122.5 metre above a river. After the ball has been falling for two seconds, a second ball is thrown sade down after it. Initial velocity of sce that both hit the water at the same timer (1) 49 mis (2) $8.5 mis (3) 26.1 mis (4) 9.8 evs alenia usa Road, New Dathi-110008, Prana TERSA8S eeee an, eee Se 446) Motion in a Straight Line 35. A balloon starts rising from ground from rest with ‘an upward acceleration 2 m/s’, Just after 1 fa stone is dropped from it, The time taken by stone to strike the ground is nearly (2) 078 (4) 148 (1) 03s @ ts 36. A boy throws balls into air at regular interval ‘of 2 second. The next ball is thrown when the velocity of first ball is zero. How high do the ball rise above his hand? [Take g = 9.8 m/s’] (2)9.8m (4) 29.4 m (1) 49m (3) 196m 37. A ball projected from ground vertically upward is at same height at time ¢, and t,. The speed of projection of ball is [Neglect the effect of air resistance) glt +t) (1) oft - 4 (Cbeietgae [t—t) @ atl (4) att, + 6) 38. Two balls are projected upward simultaneously with speeds 40 m/s and 60 m/s. Relative position (x) of second ball w.rt. first ball at time 1=5 sis [Neglect air resistance]. (2) 80m (4) 120m (1) 20m (3) 100 m 38. Aball is dropped from a height h above ground. Neglect the air resistance, its velocity (v) varies with its height y above the ground as. (1) ¥2g(h=y) (2) gh (3) Roy (4) 2a(h+y) (Graphs) 40. The position-time graph for a particle moving along a straight line is shown in figure. The total distance travelled by it in time t= 0 to t= 10 s is a1 42. 43, Board & Competitive § (1) Zero 2) 10m (3) 20m (4) 80m The position-time graph for a by a straight line between o and," fs le, figure. During its motion betw, tho many times body comes to roeth Oana Mn x % A a t (1) Zero (2) 1 time (3) 2 times (4) 3 times The displacementstime graph for ho par and Bis as follows. The ratio “A jg Ve —Displacement—> (1).14:2 (3) 43:1 The position (x)-time (t) graph for a parce moving along a straight line is shown in ga The average speed of particle in time ine =Otot=8sis x(m) 20: 10: t(8) o 24 (1) Zero (2) 5 mvs (3) 7.5 mis (4) 9.7 mis Road, New Dethi-110005. Phone : 011-47625456npetitive Exams (Level!) 8 = a 4 re shows the postion of a particle moving 47 Fore wens as a function of time xm)é 20: 10 t(s) 8 (1) The particle has come to rest 4 times (2) The velocity at t= 8 s is negative O24 (3) The velocity remains positive for t= 2 s to t=6s (4) The particle moves with a constant velocity Which one of the following graph for a body moving along a straight line is possible? Speed Speed « ) 2) o t o i Speed Time 0" Position 48. 3) in (4) Oo t ‘The velocity versus time graph of a body moving ina straight line is as shown in the figure below (1) The distance covered by the body in 0 to 2sis8m (2) The acceleration of the body in 0 to 2 s is 4 ms? (3) The acceleration of the body in 2 to 3 s is 4ms* (4) The distance moved by the body during 0to3sis6m 49. Motion in a Straight Ling 417 For the acceleration-time (a-1) graph Shown in city Of particle from (1) 10 mis (2) 4mis (3) 12 ms (4) 8 mis A body is projected vertically upward from Ground. If we neglect the effect of air, then which one of the following is the best representation of Variation of speed (Vv) with time (f)2 Y v (1) Q a v (3) es lA. For a body moving with uniform acceleration along straight line, the variation of its velocity (v) with position (x) is best represented by ie Bs *) 6 t v (4) 6 t v (4) @) d x y (3) (a) a x Tower, 8, Pusa Road, New Delhi-110005, Phone SOtt 47629488)ng tine-diaplacoment folowing objects P and Q Pp Q Vr : t t E 0 tion-time graph for a particle is given Si. te agure. fit starts motion at f = 0, distance traveled in 3 s will be (2) 2m (4) 6m 52. The position (x) of a particle moving along x-axis (1) 4m (3) 0 varies with time (ft) as shown in figure. The average acceleration of particle in time interval t=Otot=8sis (mm) 246 8 19) (1) 3 mst x (Re 63, 55. 56. 57. Road, New Deihi-110005, Phone ; 011-47623456 Board & Comps — (Loa tive Motion) A boat covers certain distance between tye ina rivor taking f, hrs going downstrogn, hrs going upstream, What time will be tajgr boat to cover same distance In still watgry" % heh (ys 2tite thet (2) 2(t, =) (3) (4) hte A train of 150 m length is going towards at a speed of 10 mis. A bird is flying at 5 parallel to the track towards South, Th jn, taken by the bird to cross the train is (1) 108 (2) 158 (3) 308 (4) 128 ‘Two cars are moving in the same direction with, speed of 30 kmih. They are separated from ean other by 5 km. Third car moving in the opposts direction meets the two cars after an interval of 4 minutes. The speed of the third car is (1) 30 km/h (2) 25 km/h (3) 40 km/h (4) 45 km/h ‘Two cars A and B are moving in same directin with velocities 30 m/s and 20 m/s. When cat A is at a distance d behind the car B, the driver of the car A applies brakes producing unifom retardation of 2 m/s’. There will be no colision when (1) d<2.5m (2) d> 125m (3) d> 25m (4) d < 125m ‘Two trains each of length 100 m moving paral towards each other at speed 72 km/h and 36 km/h respectively. In how much time wil they cross each other? (1) 45s (2) 6.675 (3) 3.58 (4) 7.258 A ball is dropped from the top of a building o! height 80 m, At same instant another ball § thrown upwards with speed 50 m/s from the bottom of the building. The time at which will meet is (1) 168. (3) 8s (2) 58 (4) 108