A rocket is launched from a hill, the hill is 80 ft high and the rocket has a velocity of 64 ft/s what is the maximum height of the rocket and when will it reach that height?

Question

asked Feb 24, 2022 41.4k views

1 Answer

CBIII · Answer 1 · 2022-03-02T02:45:38+0000

Answer:143.60 ft

Explanation:

Given

Height of hill
$h=80\ ft$

the launch velocity of the rocket is
$u=64\ ft/s$

At maximum height, the velocity of the rocket is zero

using the third equation of motion
v^2-u^2=2as

$\Rightarrow 0^2-64^2=2* (-32.2)* s\\\Rightarrow s=(64^2)/(64.4)=63.60\ ft$

The maximum height will be
$80+63.60=143.60\ ft$