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).
If gravity effect is neglected, then ball will turn back with same speed once bat hit it. Before ball hit the bat, its acceleration is zero but after striking it will be accelerated by impulsive force of bat.
The variation of acceleration with time is shown in graph.
The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:
(image)
The acceleration $(a)-$ time $(t)$ graph that best suits this motion is :
If $x \propto {t^{5/2}}$ , then
Draw the $x\to t$ graphs for positive, negative and zero acceleration.
A train starting from rest travels the first part of its journey with constant acceleration $a$ , second part with constant velocity $v$ and third part with constant retardation $a$ , being brought to rest. The average speed for the whole journey is $\frac{{7v}}{8}$. The train travels with constant velocity for $...$ of the total time