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 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 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 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 .

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 .

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, 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 mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity 100m//s with respect to the rocket. (What is the minimum rate of burning fuel, so as to just lift the rocket upwards against the gravitational attraction?) (Take g=10m//s^(2) )

A rocket of mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity 100m//s with respect to the rocket. (What is the minimum rate of burning fuel, so as to just lift the rocket upwards against the gravitational attraction?) (Take g=10m//s^(2) )

A rocket of mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity 100m//s with respect to the rocket. (What is the minimum rate of burning fuel, so as to just lift the rocket upwards against the gravitational attraction?) (Take g=10m//s^(2) )