After a model rocket reached its maximum height, it then took 5.0 seconds to return to the launch site. what is the approximate maximum height reached by the rocket? [neglect air resistance.]

Air resistance is ignored.

g = 9.8 m/s².

At maximum height, the vertical velocity is zero.

Let h = the maximum height reached.

Let u = the vertical launch velocity.

Because ot takes 5.0 seconds to reach maximum height, therefore

(u m/s) - (9.8 m/s²) * (5 s) = 0

u = 49 m/s

The maximum height reached is

h = (49 m/s) * (5 s) - (1/2) * (9.8 m/s²) * (5 s) ²

= 122.5 m

Answer: 122.5 m