4. Find the instantaneous velocity of the particle described in Figure P2.1 at the following times: (a) `t = 1.0 s`, (b) `t = 3.0 s`, (c) `t = 4.5 s`, and (d) `t = 7.5 s`.


Hint
`overline(v) = (∆x)/(∆t)`
Answer
(a) `5m//s` (b) `-2.5 m//s` (c) `0m//s` (d) `5m//s`
Show Steps
(a) constant velocity form `t =0` to `t=2` Instantaneous velocity `v(1.0) = overline(v(0,2)) = (10m-0m)/(2s-0s) = color(red)(5 m//s)` (b) constant velocity form `t =2` to `t=4` Instantaneous velocity `v(3.0) = overline(v(2,4)) = (5m-10m)/(4s-2s) = color(red)(-2.5 m//s)` (c) constant velocity form `t =4` to `t=5` Instantaneous velocity `v(4.5) = overline(v(4,5)) = (5m-5m)/(5s-4s) = color(red)(0 m//s)` (d) constant velocity form `t =7` to `t=8` Instantaneous velocity `v(7.5) = overline(v(7,8)) = (0m-(-5m))/(8s-7s) = color(red)(5 m//s)`