After a model rocket reached its maximum height, it then took 5.0 seconds to return to the launch site. what is the approximate

Question

sergiy2304 [10]

3 years ago

8

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.]

Physics

1 answer:

kifflom [539] · Answer 1 · 2022-05-06T02:29:05+03:00

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