The distance traveled by a particle starting from rest is plotted against the square of the time elapsed from the start of the motion. The graph is a straight line. The gradient of the line is 4.9 m/s². Determine the acceleration of the motion.?

Answer 1

d=vo*t + 1/2 a t^2 and vo=0
letting t^2= u
d= +1/2 a u
so as d is a function of u, then slope is 1/2 a
4.9=1/2 a or a= 9.8 m/s^2