Answer to Question #330616 in Calculus for Gaile

Question

A projectile is launched vertically upward from the ground level with an initial velocity of 16 ft/s.

a. How long will it take for the projectile to hit the ground?

b. How long will the projectile be moving upward?

Answer 1

a. $h(t)=16t-16t^2.$

$h(t)=0 \to t=1 s.$

b. $v(t)=16-32t.$

$v(t)=0 \to t=0.5s.$