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A particle is moving up an inclined plane. Its velocity changes from 25m/s to 10m/sin 5 seconds. What is its acceleration?

Question

A particle is moving up an inclined plane. Its velocity changes from 25m/s to 10m/sin 5 seconds. What is its acceleration?

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Solution

To find the acceleration, we need to use the formula for acceleration which is:

a = Δv / Δt

where: a is acceleration, Δv is the change in velocity, and Δt is the change in time.

Step 1: Find the change in velocity (Δv) The change in velocity is the final velocity minus the initial velocity. In this case, the final velocity is 10 m/s and the initial velocity is 25 m/s. So,

Δv = vf - vi = 10 m/s - 25 m/s = -15 m/s

The negative sign indicates that the velocity is decreasing.

Step 2: Find the change in time (Δt) The change in time is given as 5 seconds.

Step 3: Substitute Δv and Δt into the acceleration formula a = Δv / Δt = -15 m/s / 5 s = -3 m/s²

So, the acceleration of the particle is -3 m/s². The negative sign indicates that the acceleration is directed downwards, opposite to the direction of motion.

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