A particle accelerates uniformly from rest to a 20m/s in 5secsit then continue i

Question

A particle accelerates uniformly from rest to a 20m/s in 5secsit then continue its motion at a constant speed for 4 moresecs.ALL motion for particle is horizontal along X axis Determine the instanteneous speed of the particle at6secs. Determine the total distance traveled over the entire 9 secstime interval. A particle accelerates uniformly from rest to a 20m/s in 5secsit then continue its motion at a constant speed for 4 moresecs.ALL motion for particle is horizontal along X axis Determine the instanteneous speed of the particle at6secs. Determine the total distance traveled over the entire 9 secstime interval.

Explanation / Answer

the acceleration of the particle for first 5 sec              v = at              a = v / t = 20 m/s / 5s = 4 m /s2 The instanteneous speed of the particle at 6secsis                    v = at = 4 m /s2   * 6 s =24 m/s the total distance travelled in 9 sec is                   S = 0.5 at2 = 0.5 * 4 * 81 = 162m the total distance travelled in 9 sec is                   S = 0.5 at2 = 0.5 * 4 * 81 = 162m

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