A motorcyclist starts from rest and after traveling along a

A motorcyclist starts from rest and after traveling along a straight path a distance of20 m reaches a speed of 30 km/h. Determine his acceleration, if it is constant. Also, how long does it take to reach the speed of 30 km/h? Please use the equations given below and show all your work on the next page. v - v_0 = a_c t x - x_0 = v_0 t + 1/2 m_c t^2 v^2 - v_0^2 = 2a_c (x - x_0) State the initial position and final position in m (x_0 and x). State the initial speed and final speed in m/s (v_0 and v). Calculate the constant acceleration in m/s^2 (a_c). Determine the time to reach the final speed in sec (t).

Solution

Motion with constant acceleration occurs in everday life when ever an object is dropped . the object moves downward with the constant acceleration 9.81ms-2 . under the influence of gravity.

this can be shown in graph of displacement versus time and velocity versus time for a body moving with constant accleration.It can be seen that the displacement - time graph consists of a curved line whose gradient is increasing in time.