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`.
`a = (∆v)/(∆t)`
(a) see graph
(b) `1.6 m//s^2`
(c) `0.8 m//s^2`
(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) `
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