Question

14. A rocket is shot up into the air and then comes back down and hits the ground 9.2 second later.

What is its vertical distance and its initial velocity?

I need help!

Answer 1

105.8 m

46 m/s

Step-by-step explanation:

From the time the rocket is launched to the time it reaches its maximum height:

v = 0 m/s

a = -10 m/s²

t = 9.2 s / 2 = 4.6 s

Find: Δy and v₀

Δy = vt − ½ at²

Δy = (0 m/s) (4.6 s) − ½ (-10 m/s²) (4.6 s)²

Δy = 105.8 m

v = at + v₀

0 m/s = (-10 m/s²) (4.6 s) + v₀

v₀ = 46 m/s