the distance travelled by a body is found to be directly proportional to the square of time is - Physics - System of particles and rotational motion

Question

the distance travelled by a body is found to be directly
proportional to the square of time is the body uniformly
accelerated or is moving with uniform velocity ?Draw position time
graph for the motion

Ujjval Chauhan · Accepted Answer

Dear student

Given thatx∝t2   or x=kt2     , where k is proportional constant
Now differentiate x w r t
 time two times to get accelerationdxdt=2ktd2xdt2=2kso a=d2xdt2=2k=constantso acceleration will be constant through the motion
As x=kt2 , this is an equation of parabola so graph 
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_582db19842ecc%20jpg"
style="width: 150px; height: 122px;">

the distance travelled by a body is found to be directly proportional to the square of time . is the body uniformly accelerated or is moving with uniform velocity ?Draw position time graph for the motion.