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`.
`overline(v) = (∆x)/(∆t)`
(a) `5m//s`
(b) `-2.5 m//s`
(c) `0m//s`
(d) `5m//s`
(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)`
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