A rocket is fired and ascends with constant vertical acceleration of 10m/s2 for 1 minute. Its fuel is exhausted and it continues as a free particle. The maximum altitude reached is (g=10m/s2)

Question

A rocket is fired and ascends with constant vertical acceleration of 10m/s2 for 1 minute. Its fuel is exhausted and it continues as a free particle. The maximum altitude reached is (g=10m/s2) (A) 18 km (B) 36 km (C) 72 km (D) 108km

Tardigrade Admin · Accepted Answer

h = (1/2) at2 , ν = at max. height = H = (ν2/2g) total distance from the ground = (H + h)

Q. A rocket is fired and ascends with constant vertical acceleration of $10 m / s^{2}$ for 1 minute. Its fuel is exhausted and it continues as a free particle. The maximum altitude reached is $(g = 10 m / s^{2})$

18 km

36 km

72 km

108km

$h = \frac{1}{2} a t^{2}, ν = a t$
max. height = H = $\frac{ν ^{2}}{2 g}$
total distance from the ground = (H + h)

Q. A rocket is fired and ascends with constant vertical acceleration of 10m/s2 for 1 minute. Its fuel is exhausted and it continues as a free particle. The maximum altitude reached is (g=10m/s2)