A particle moving in a straight line reverses its direction of motion once. What can we say about the nature of its acceleration?

Open in App

Solution

$W h e n a p a r t i c l e m o v e s w i t h v e l o c i t y v i n t h e f o r w a r d d i r e c t i o n a n d r e v e r s e s i t s d i r e c t i o n, i t s v e l o c i t y b e c o m e s - v . L e t u s a s s u m e t i m e t a k e n t o t h i s r e v e r s a l i s t . T h e r e f o r e a c c e l e r a t i o n i s g i v e n b y, a = \frac{c h a n g e i n v e l o c i t y}{t i m e t a k e n} = \frac{- v - v}{t} = \frac{- 2 v}{t} .$

Suggest Corrections

Similar questions

Q. What can you say about the nature of motion of a body if its displacement-time graph is a straight line parallel to time axis ?

Q. Consider a particle moving with constant speed such that magnitude of its acceleration is constant in magnitude and always perpendicular to its velocity. What can you say about its motion?

Q. Say Yes or No:
Can an object reverse the direction of its motion even though it has constant acceleration?

What can you say about the motion of a body if :

(a) its displacement-time graph is a straight line ?

(b) its velocity-time graph is a straight line?

Consider a particle moving with constant speed such that its acceleration is constant and always perpendicular to its velocity. What can you say about its motion?

Join BYJU'S Learning Program

A particle moving in a straight line reverses its direction of motion once. What can we say about the nature of its acceleration?

When a particle moves with velocity v in the forward directionandreverses its direction , its velocity becomes -v. Let us assume time taken to this reversal is t. Therefore accelerationis given by, a=change in velocitytime taken=-v-vt=-2vt.