Question

Find the instantaneous velocity of the particle described in the figure below at the following times. 

 a) t= 0.9 s 

 (b) t = 3.5 s 

 (c) t = 4.1 s 

 (d) t = 7.2s  

Answer 1

Answer 2

From the distance vs time graph, the value of slop at any given point gives the value of instantaneous velocity at the same point.

Part-a

at t=0.9 seconds

the slope of the curve is

by plugging all the values we get

which gives us

Part-b

at t=3.5s

Again the slope of the curve is

which gives us

Part-c

at t=4.1s the curve is parallel to x axis thus

part-d

at t=7.2 seconds