a body is initially at rest . it undergoes one dimensional motion with a constant acceleration .how does its displacement"s" depend on time"t"?
Answers
Displacement‘s’ is directly proportional to time‘t’.
Explanation:
The relation of displacement to the time when a body moves in one dimensional motion starting from rest with constant acceleration is as follows,
Given: Initial velocity u = 0
Constant acceleration a = a
When there is constant acceleration, implies variable velocity. Also given that initial velocity is zero so the body in motion will have an acquired velocity over the time t. Thereby, velocity is given by displacement by time. And as here, velocity is variable, displacement will also be kept changing.
Hence, displacement will increase with increase in time so as to maintain the constant acceleration.
Answer:
Since, we know that velocity =displacemnt/time. Velocity is directly proportional to the change in displacement. As the displacement increases with an increase in time, then the velocity increases to maintain the constant acceleration.