a body starting from rest travels with uniform acceleration. It travels 100metre in 5 seconds. What is the value of acceleration?
Answers
Answer:
a= 8m/^2
Explanation:
The body or a man starts from rest meaning thereby that its initial speed is zero. So under the action of some agency body gets velocity or say got accelerated imagine that its speed/velocity changes per sec under the external action. If a is acceleration in m/s^2 means in each second during its motion it will get its velocity increased by a m/s.
the displacement of the body say in a time interval dt
will be v.dt but v is increasing v= u +a.t
ds = (u +at)dt as u=0
ds = a.t.dt ,
if we add up displacements or integrate the left and right side from t=0 to t=t seconds we get distance covered s
s = (1/2) a. t^2
so here we are given the distance travelled s = 100 m and time t= 5 s
so, the acceleration a = {2 .100 m| /{ 25 s^2} = 8 m/s^2