The acceleration-time graph of a particle moving in a straight line is shown in the f igure. If the initial velocity of the particle is zero, then the velocity-time graph of the particle will be:

Question

Water drops fall from a tap on the floor, \(5\) m below, at regular intervals of time. The first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from the ground, at the instant when the first drop strikes the ground, is ________ m. (\( g = 10 \, \text{m s}^{-2} \))

Answer 1

Step 1: The acceleration-time graph indicates constant acceleration.

Step 2: Velocity is the integral of acceleration over time. Constant acceleration results in a linearly increasing velocity over time.

Step 3: Given an initial velocity of zero, the velocity-time graph is a straight line originating from the origin and increasing over time.

The acceleration-time graph of a particle moving in a straight line is shown in the f igure. If the initial velocity of the particle is zero, then the velocity-time graph of the particle will be:

Show Hint

The Correct Option is D

Solution and Explanation

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