Question

Two cannons shoots cannonballs simultaneously as shown in the figure. The mass and speed of the the cannonball at ground level is half that of the cannonball at height H. Each cannonball is in air for more than two seconds. After 1 second from the launch, acceleration of cannonball at ground is $a_1$ and acceleration of cannonball at a height is $a_2$.

Choose the correct relationship between $a_1$ and $a_2$.

• A. $a_1=4a_2$
• B. $a_1=2a_2$
• C. $a_1=a_2$
• D. $a_2=2a_1$
• E. $a_2=4a_1$

Answer 1

Answer: (C)

$a_1=a_2$

The only force acting on both the cannon shots is the force of gravity only. Hence the acceleration of both the cannon shots at all times during the trajectory motion is $g$ downwards.