$A$ uniformly moving cricket ball is turned back by hitting it with a bat for a very short time interval. Show the variation of its acceleration with time (Take acceleration in the backward direction as positive).

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) When a cricket ball moves uniformly,its acceleration is $0$.
When it is hit by a bat,it experiences a large impulsive force for a very short time interval.
According to Newton's second law,$F = ma$,so the acceleration $a = F/m$.
Since the force is impulsive,the acceleration rises sharply from $0$ to a maximum value and then decreases back to $0$ as the contact ends.
The graph of acceleration $(a)$ versus time $(t)$ is shown below,where the backward direction is taken as positive:
[Graph of $a$ vs $t$ showing a sharp peak during the impact interval]

Explore More

Similar Questions

If the final momentum is equal to the initial momentum of the system,then:

$A$ batsman hits back a ball of mass $0.4 \; kg$ straight in the direction of the bowler without changing its initial speed of $15 \; ms^{-1}$. The impulse imparted to the ball is $\dots \; Ns$.

$A$ machine gun fires a bullet of mass $40$ g with a speed of $600$ m/s. The person holding the gun can bear a maximum force of $168$ $N$ on it. The number of bullets that can be fired from the gun per second is

$A$ body of mass $5 \, kg$ is moving with a momentum of $10 \, kg \cdot m/s$. $A$ force of $0.2 \, N$ acts on it in the direction of motion of the body for $10 \, seconds$. The increase in its kinetic energy is ............... $J$.

The average force necessary to stop a hammer having momentum $50 \ N-s$ in $0.25 \ s$ is ...... $N$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo