4. Only One Option Correct A cyclist starts from the point P of a P circular ground of radius 2 km and travels along its circumference to the 5 a point S. The displacement of a cyclist (@) 6km (© 8km (b) 4km R (a) V8 km (Main 4" April 2™ shift 2024) A clock has 75 cm, 60 cm long second hand and minute hand, respectively. In 30 minutes duration, the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter i is nearly (Take x = 3.14) (@) 1394) 2200) 405 (a) 1189 (Main 8" April 1* Shift 2024) A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered in two equal time intervals with speed 9 m/s and 15 mis respectively. The average speed of the particle uring the motion is (a) 9.2m/s (b) 10 mis (© 8mis (@) 88 mis (Main 9" April 1* Shift 2024) A particle is moving in a straight line. ‘The variation of position “x as a function of time “fis given as (° - Gt" + 20¢ + 15)m. The velocity of the body when. its acceleration becomes zero is (a) 4m/s (b) 8m/s_—(c) 10 m/s () 6 m/s (Main 29" Jan 2" Shift 2024) The relation between time ‘f and distance ‘x’ is t= ox? + Bx, where cand B are constants. The relation between acceleration (a) and velocity (v) is (2) a=-30% (b) a=-207 (© a=-4ay* (@) a=-Sav (Main 31" Jan 1" Shift 2024) A particle starts with an initial velocity of 10.0 ms along x-direction and accelerates uniformly at the rate of, 2.0 ms’, The time taken by the particle to reach the ‘velocity of 60.0 ms“ is (a) 308 (b) 6s (23s 3s (Main 6" April 2" Shift 2023) ‘The Position-time graphs for two students A and B ‘turning from the school to their homes are shown in figure, ~ (A) A ives closer to the school A (B) Blives closer to the school (©) Atakes lesser time to reach home * (D) A travels faster than B (©) Btravels faster than A, oe 10. iL. 12 13, Choose the correct answer from the options given. below (a) (A), (C) and (D) only (b) (A), (C) and (B) only (©) (B) and (E) only (d) (A) and (E) only, (Main 10" April 1* Shift 2023) A person travels x distance with velocity v, and then x distance with velocity v2 in the same direction. | average velocity of the person is v, then the relat between v, v; and ¥, will be. y yty, 4 @ 22444 ) y= antes vai © vey +m Ort vy i (Main 10" April 2 Shift 2023) From the v-t graph shown, the ratio of distance to displacement in 25 s of motion is 1 5 i @ 3 Fi OF @i . (Main 11° April 1 Shift 2023) ‘Two trains ‘A’ and ‘B’ of length ‘I’ and ‘4P are travelli into a tunnel of length ‘L’ in parallel tracks from opposite directions with velocities 108 km/h and ‘72 kam/h, respectively. If train ‘A’ takes 35 s less time than ‘rain ‘B’ to cross the tunnel then, length ‘L’ of tunnel is (Given L = 601) (@) 2700m (b) 1200m _() 1800 m (4) 900m (Main 13" April 1* Shift 2023) ‘The distance travelled by an object in time ¢ is given by s = (25)P, The instantaneous speed of the object at 5Sswillbe (@) 25ms? (&) 625mst a © 125mst (@) Smst (Main 13" April 2" shift 2023) ‘The position of a particle related to time is given by x= (6t ~ 4t + 5)m, The magnitude of velocity of the particle at t= 2 s will be (@) 10ms* (b) 14ms* (c) 16ms* (4) 0.6 ms (Main 15" April 1* Shift 2023) An object moves with speed v,, vy and v5 along a line segment AB, BC and CD respectively as shown in figure. Where AB = BCand AD = 3AB, then average speed of tht object will be x € B (ity +ys) : Buy : ® OO ER ( Mtnen) @ 2s Snivav 3(y¥2 +¥av5 +¥9M) » (Main 1 Feb 1* shift 2089Kinematics “ 15 16. 1, the velocity time graph of a body moving in a tr tine is shown in figure, 7 ig in a straight i eanea) 7 ; time 6) > 1e ratio of displacement to distance travel ieee rere ee Ao @r2 Or4 ©13 @as (Main 24° Jan 1 Shift 2023) ‘Acartravelsa distance of x with speed v, and then same distance ‘x’ with speed vy in the same direction. The average speed of the caris ma _ ® ao4m 0 rae ii © at (d@) oe (Main 25" Jan 1" Shift 2023) ‘The distance travelled by a particle is related to time tas x=4f, The velocity ofthe parti (a) 8ms™ (b) 20ms (c) 25m: (Main 25" Jan 2 Shift 2023) ‘Avehicle travels 4 km with speed of 3 km/h and another 4km with speed of 5 km/h, then its average speed is (a) 3.75 km/h (b) 4.25 km/h (©) 3.50 km/h (@) 4.00 km/h (Main 30" Jan 24 Shift 2023) distance travelled by him is 60 m, then A person moved fiom A to Bona y ciealar path as shown i figure. Ifthe SA the magnitude of displacement would be (Given cos135° = -0.7) @ 2m 0) 47m) 19m_ 4) 4om (Main 25" July 1* Shift 2022) AA bullet is shot vertically downwards with an initial velocity of 100 m/s from a certain height. Within 10s the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity- time curve for total time t = 20 s will be (Take g = 10 m/s?). : soon @ fis 20s 5 (b) a -100.m/s- -100mist 1# 7 20m 200m Y 100m Ips me, (Linger, ot 100m (Main 27% july 1 Shift 2022) a. 22. 23, i = atten) is “4 () wo) 8 (A) 16 (Main 29 July 1* Shift 2022) ‘Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by Xp(t) = at + BP and Xo(t) = ft - P. ‘At what time, both the buses have same velocity? @4 « of af oF © sp Oth fro © ap © aap (Main 25% June 2% Shift 2022) ‘The instantaneous velocity of a particle moving in a straight lin is given as v= at + Br, where and B are constants, The distance travelled by the particle between Tsand2 sis 3 u42 «8B (@) 50458 O) 7 © 3a+2p (a) 30,78 2 (Main 25" July 2" Shift 2021) ‘The relation between time f and distance x for a moving body sgvenas t= ma? + nx where mand are constants: The retardation ofthe mation is (where stands forthe velocity) (a) 2m? (b) 2mnv?—(@) 2m (A) anv? (Main 25" july 2© Shift 2021) ‘The velocity-displacement graph ym describing the motion of a bicyele is shown in the figure. ‘The acceleration-displacement graph of the bicycles motion is best described by an, @ | 200400 Xm) (Main 16% March 1* Shift 2021)26. 27. 28, 29. ‘A.car accelerates from rest at a constant rate «for some time after which it decelerates at a constant rate B to come to rest. Ifthe total time elapsed is ¢ seconds, the total distance travelled is 2082 @ 2B 2 © aap OB 2 2 @ f © Fam © FocsB : 7 @ iT 1 ©) ST Ke t + © 1 @ 1 i (Main 24" Feb 1% ‘Shift 2029 (Main 17 March 1 Shift 2021) | 30, A scooter accelerates from rest for time t; at constay ‘The velocity ofa particle is v= vp + gt+ FP. Its position is x= Oat f= 0; then its displacement after time (f= 1) is (@) weesF ) m+hsF © worked (@) vp +2g+3F (Main 17" March 2" Shift 2021) ‘The position, velocity and acceleration of a particle roving witha constant acceleration can be represented by § | 2/ 5 & §| ay oF 3 q oe et = | oJ ako so w» | * re i * y = = = | » | aL og 3 | 27 £ 8] z § 7 =r = .| 2 9 s|__ a @§ i i q ? z ) 6m © 10m (@) 3m (Main 10° Jan 2% Snip 208