How to find acceleration from distance-time graph with examples?

Open in App

Solution

$S l o p e o f d i s \tan c e t i m e g r a p h = v e l o c i t y = \frac{d s}{d t} a c c e l e r a t i o n = a = \frac{d v}{d t} s o w e c a n f i n d t h e e q u a t i o n o f s l o p e f r o m d i s \tan c e t i m e g r a p h a n d t h e n f r o m t h e s e c o n d d e r i v a t i v e w i t h r e s p e c t t o t i m e w e c a n f i n d t h e a c c e l e r a t i o n .$

Suggest Corrections

Similar questions

Fig. 2.42 given below shows a velocity-time graph for a car starting from rest.The graph has three parts AB,BC and CD.

(i) State how is the distance travelled in any part is determined from this graph.

(ii) Compare the distance travelled in part BC with the distance travelled in part AB.

(iii) Which part of graph -shows motion with uniform (a) velocity (b) acceleration (c) retardation ?

(iv) (a) Is the magnitude of acceleration higher or lower than that of retardation ? Give a reason.(b) Compare the magnitude of acceleration and retardation.

Is displacement-time graph different from position time graph? How? Explain with an example

What do you mean by acceleration? How do you find acceleration from velocity-time graph?

Q. How to draw distance time graph for uniform motion if units are not given?? give an example

Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a.Use this graph to find the distance travelled by the body in time t.

Join BYJU'S Learning Program

How to find acceleration from distance-time graph with examples?

Slope of distance time graph = velocity = dsdtacceleration = a = dvdt so we can find the equation of slope from distance time graph and then from the second derivative with respect to time we can find the acceleration.