Question

If a rock is thrown upward on the planet mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by h = 17t − 1.86t2. (a) find the velocity of the rock after one second.

Answer 1

height of the object is given in terms of time t

`h = 17t - 1.86 t^2`

now rate of change in height is velocity

so we can say

`v = (dh)/(dt)`

`v = 17 - 3.72 t`

now at t = 1 s

`v = 17 - 3.72`

`v = 13.28 m/s`

so its speed will be 13.28 m/s