Calculus question velocity

Question

A cricket jumps in the air with a velocity of $3.3\;m/s$. Its height (in meters) after $t$ seconds is given by $h(t) = 3.3 t - 4.9 t^2$.

How fast is the cricket moving after $t = 0.1$ seconds?

http://math.stackexchange.com/questions/260097/derivative-of-position-is-velocity-and-of-velocity-is-acceleration — lab bhattacharjee, Jan 17 '14 at 15:03

score 2 · Answer 1 · answered Jan 17 '14 at 15:04

2

Find $h'(t) = \dfrac {dh}{dt}$, which measures the instantaneous velocity of the cricket at time $t$.

Then evaluate this derivative at time $t = 0.1$.

answered Jan 17 '14 at 15:04

amWhy

score 1 · Answer 2 · answered Jan 17 '14 at 15:03

1

Hint The derivative of position (in this case the cricket moves vertically, so position means height) is velocity...

answered Jan 17 '14 at 15:03

N. S.

2 Answers2