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Lesson 4 Homework
Acceleration and Freely Falling Objects

2. A velocity–time graph for an object moving along the x axis is shown in Figure P2.13. (a) Plot a graph of the acceleration versus time. Determine the average acceleration of the object (b) in the time interval `t=5.00s` to `t=15.0s` and (c) in the time interval `t = 0` to `t = 20.0 s`.


Hint
`a = (∆v)/(∆t)`
Answer
(a) see graph (b) `1.6 m//s^2` (c) `0.8 m//s^2`
Show Steps
(a) See graph. (b) `∆v = v_f- v_i = 8 m//s -(-8 m//s) = 16 m//s` `∆t = (t_f - t_i) = 15 s - 5s = 10 s` `a = (∆v)/(∆t) = (16 m//s) / (10 s) = color(red)(1.6 m//s^2) ` (c) `∆v = v_f- v_i = 8 m//s -(-8 m//s) = 16 m//s` `∆t = (t_f - t_i) = 20 s - 0s = 10 s` `a = (∆v)/(∆t) = (16 m//s) / (20 s) = color(red)(0.8 m//s^2) `