Question

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h.

Answer 1

Answer:

3.75 seconds

Step-by-step explanation:

Given:

$h(t)=-16t^2+Vt+h$

$h=2$

$V=180$

Plug in given info into formula:

$h(t)=-16t^2+120t+2$

Find the x-coordinate of the vertex:

$t=-\frac{b}{2a}$

$t=-\frac{120}{2(-16)}$

$t=-\frac{120}{-32}$

$t=\frac{15}{4}$

$t=3.75$