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Can an object be increasing in speed as the magnitude of its acceleration decreases? If so, give a example; if not, explain why.

Can an object be increasing in speed as the magnitude of its acceleration decreases? If so, give a example; if not, explain why.

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
Yes, an object can be increasing in speed as the acceleration decreases. To understand the same, you must get the idea of the meaning of acceleration. Theoretically, acceleration is the rate of change of velocity while speed is the magnitude of the velocity. Therefore in a situation where the change in velocity of an object is less, the acceleration would be smaller relative to a situation in which the change in velocity over the same time is larger.
For example, consider the motion of the car along the straight road. Assume that the car is moving initially with velocity 20 km/h and suddenly accelerates to bring the final velocity of 40km/h. The acceleration of the car is given by the change of velocity over the elapse time.
Now, consider that the car accelerates again and move to a higher velocity of 50 km/h and does so in the same amount of time.
Therefore, the change in velocity of the car when it moves from 40 km/h to 50 km/h over some time difference is relatively smaller in magnitude as compared to change in velocity from 20 km/h to 40 km/h over the same time difference.

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