A particle has a rectilinear motion and the figure gives its displacement as a function of time. Which of the following statement are true with respect to the motion.

Options

A. in the motion between O and A the velocity is positive and acceleration is negative
B. between A and B the velocity and acceleration are positive
C. between B and C the velocity is negative and acceleration is positive
D. between C and D the acceleration is positive

Answer

A, C

Explanation

v = 10
`a = - 5`
`2as = v^(2)-u^(2)`
`-2 xx 5 xx 3 = 0 - 100`
s = 10m
`v = 0 " at "t =(u)/(a)`
`t = (10)/(5)=2s`
Distance travelled in first 3 seconds = distance connect in first 2 seconds + distance covered in first 2 second + distance covered in 3rd second.
`=(10xx20-(1)/(2) xx5xx2^(2))+((1.5)/(2)xx1^(2))`
`= 20 -10+(5)/(2)=12.5m`