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Equations:: Free Falling Body / Acceleration Due To Gravity

This document provides equations and examples for calculating acceleration due to gravity, velocity, height, and time of flight for objects in free fall or moving vertically upwards or downwards. The key equations given are: h= V0t ± 1⁄2 gt2, Vf= V0 ± gt, and Vf2= V02 ± 2gh, where h is height, V0 is initial velocity, Vf is final velocity, t is time, and g is acceleration due to gravity of 9.81 m/s2. Two example problems are given, one calculating values for a brick falling freely from a scaffold, and another for a mortar shell shot straight up into the air.

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77 views1 page

Equations:: Free Falling Body / Acceleration Due To Gravity

This document provides equations and examples for calculating acceleration due to gravity, velocity, height, and time of flight for objects in free fall or moving vertically upwards or downwards. The key equations given are: h= V0t ± 1⁄2 gt2, Vf= V0 ± gt, and Vf2= V02 ± 2gh, where h is height, V0 is initial velocity, Vf is final velocity, t is time, and g is acceleration due to gravity of 9.81 m/s2. Two example problems are given, one calculating values for a brick falling freely from a scaffold, and another for a mortar shell shot straight up into the air.

Uploaded by

athenz_01
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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FREE FALLING BODY / ACCELERATION DUE TO GRAVITY EQUATIONS: h= V0t gt2 Vf= V0 gt Vf2= V02 2gh NOTE: g is (+)

(+) when going down g is (-) when going up (against the gravity) V0 = 0 (when it is dropped; and the one that drops is not moving; this must also the case for free fall) Vf = final velocity h= height t= is the time of flight g= 9.81 m/s2 = 32.2 ft/s2 EXAMPLE: 1.) A brick falls freely from a high scaffold. a.) What is its speed in m/s after 4s? b.) How far does the brick fall during the first 4s?

2.) A mortar shell is shot straight up with a speed of 98 m/s. a.) How long does the shell remain in the air? b.) How high does the shell rise?

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