A constantly accelerating particle travels for 3 s. If its initial velocity is 1

Question

A constantly accelerating particle travels for 3 s. If its initial velocity is 10 m/s and it travels 75 m, what is its final velocity? 20 m/s 25 m/s 30 m/s 40 m/s A constantly accelerating particle travels for 3 s. If its initial velocity is 10 m/s and it travels 75 m, what is its acceleration? 5m/s^2 10 m/s^2 16.67 m/s^2 25 m/s^2. A particle travels 3.5 m. If its initial velocity is 9 m/s and its final velocity is 16 m/s. what is its acceleration? 1 m/s^2 2 m/s^2 7 m/s^2 25 m/s^2 A particle initially traveling at 30 m/s slows to a stop in just 3 seconds at a constant acceleration. How far does the particle travel? 10 m 30 m 45 m 80 m A particle initially traveling at 40 m/s slows to 10 m/s in just 3 seconds at a constant acceleration. How far does the particle travel? 25 m 30 m 75 m 90 m

Explanation / Answer

Here, S = ut + 1/2at2

            v2 - u2 = 2aS

          v = u + at

44)   Final velocity = sqrt( 100 + 2 * 10 * 75)

                              = 40 m/sec

45)    acceleration = 2 * (75 - 10 * 3)/9

                               = 10 m/sec2

46)     Here, acceleration = (162 - 92)/(2 * 3.5)

                                        = 25 m/sec2

47)   far does particle travel =   (302 - 02)/(2 * 10)

                                            = 45 m

48)     far does particle travel =   (402 - 102)/(2 * 10)

                                            = 75 m

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