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Question: A rocket having fuel as its bulk is initially at rest. Neglecting the effect of gravity, when fuel i...

A rocket having fuel as its bulk is initially at rest. Neglecting the effect of gravity, when fuel is burning at a constant rate, acceleration a of the rocket with respect to time t is best represented by one of the graphs given below.

A
B
C
D
Answer
Explanation

Solution

Acceleration of a rocket is given by

a = F(M0mt)\frac{F}{\left( M_{0} - mt \right)}

With the burning of fuel, mass of rocket decreases but engine keeps the force constant so acceleration is picket up in the manner shown in (1)