Question

Projectile Motion Question...

Answer 1

The height (in feet) of the ball obeys the function \[h(t)=96+32t-16t^2\]
where the time is expressed in seconds.

At what speed will the ball hit the ground?

Answer 2

This is my answer:
\[h'(3.45)=32-32(3.45) = -78.4 \frac{ ft. }{ \sec. }\]

But I wanted to clarify if it was right or wrong. The equation I used was the derivative of h(t), and the t value (i.e., 3.45). I arrived at from using the Quadratic Formula.

Answer 3

Or is this a trick question, because the ball will hit the ground at zero speed....

Answer 4

I believe it should be t = 3.64

96+32(t)−16(t)^2 = 0

Answer 5

everything else appears correct, just fix you time ^_^

Answer 6

@DemolisionWolf: I actually figured everything out on my own and caught that error as well, but Thanks for clarifying it! :-) I'll still reward you "Best Response".