A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration of 2.00 m/s² until its engines stop at an altitude of 150 m.

a. What is the maximum height reached by the rocket?

b. When does the rocket reach maximum height?

c. How long is the rocket in the air?

a) 5m b) 5secs c) 10secs

Explanation:

a) maximum height H = u²/2g

Given u = 50m/s

g = 10m/s²

H = 10²/20

H = 5m

maximum height reached by the rocket is therefore 5m

. b) Time it takes the rocket to reach its maximum height is Tmax = U/g

Tmax = 50/10

Tmax = 5seconds

c) How long the rocket spent in the air is the time of flight T

T = 2U/g

T = 2*50/10

T = 100/10

T = 10seconds