A rocket with an initial mass of `1000 kg`, is launched vertically upward from rest under gravity. The rocket burns fuel at the rate of `10 kg` per second. The burnt matter is ejected vertically downwards with a speed of `2000 m//s` relative to the rocket . Find the velocity of the rocket after `1 min` of start.

A rocket, with an initial mass of 1000kg , is launched vertically upwards from rest under gravity. The rocket burns fuel at the rate of 10kg per second. The burnt matter is ejected vertically downwards with a speed of 2000ms^-1 relative to the rocket. If burning ceases after one minute, find the maximum velocity of the rocket. (Take g as constant at 10ms^-2 )

A rocket of initial mass m_0 has a mass m_0(1-t//3) at time t. The rocket is lauched from rest vertically upwards under gravity and expels burnt fuel at a speed u relative to the rocket vertically downward. Find the speed of rocket at t=1 .

In a rocket, fuel burns at the rate of 2 kg/s. This fuel gets ejected from the rocket with a velocity of 80 km/s. Force exerted on the rocket is -

In a rocket, fuel bums at the rate of 1 kg/s. This fuel is ejected from the rocket with a velocity of 60 km/s. This exerts a force on the rocket equal to

A rocket is moving vertically upward against gravity. Its mass at time t is m=m_0-mut and it expels burnt fuel at a speed u vertically downward relative to the rocket. Derive the equation of motion of the rocket but do not solve it. Here, mu is constant.

A rocket weighs 13,500 kg when fuelled up on the launching pad . It is fired vertically upward . Gases are exhausted at the rate of 145 kg per second with velocity 1500 ms^(-1) relative to the rocket . What is the thrust on the rocket ?

A rocket of mass 20000 kg is ejecting the gases at the rate of 50 kg/sec with speed of 20 m/sec in gravity free space. Find the acceleration of rocket at 2 sec.

A rocket fired from the earth's surface ejects 1% of its mass at a speed of 2000 ms^(-1) in the first second. Find the average acceleration of the rocket in the first second.