Which is greater, an acceleration from 25 km/h to 30 km/h or one from 96 km/h to 100 km/h if both occur during the same time?
Solution Step 1 of 4 Acceleration is the rate of change of velocity or it is the ratio of change in velocity to the time taken for the change. It tells about, how fast the object gains or losses its speed. That is, change in velocity(m/s) a = time taken(s) = t Where a is the acceleration, v is the change in velocity in the given interval of time t. Acceleration is a vector, it has both magnitude and direction. Step 2 of 4 The time taken is same in both the cases, so let us consider in both the cases time taken be equal to t. To calculate acceleration for the first case, Given data, Initial velocity, 1 = 25 km/h FInal velocity, v =30 km/h 2 Change in velocity,v = v -v =30 km/h- 25km/h=5 km/h 2 1 Time taken, t 1 t Using given data in above equation, a = 5 km/h……………...1 1 t