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16 February, 19:46

The rocket-driven sled Sonic Wind No. 2, used for investigating the physiological effects of large accelerations, runs on a straight, level track that is 1080 m long. Starting from rest, it can reach a speed of 1560 km/h in 1.70 s.

a) Compute the acceleration in m/s^2.

b) Compute the acceleration in gÍs.

c) What is the distance covered in 1.70s?

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  1. 16 February, 20:28
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    A) acceleration = [change in velocity] / [time interval] = [final velocity - initial velocity] / t =

    acceleration = [1560 km/h - 0] / 1.7 s = 1560 km/h / 1.7 s

    convert the velocity to m/s: 1560 km/h * 1000 m / km * 1h/3600 s = 433.33 m/s

    acceleration = 433.33 m/s / 1.7 s = 254.9 m/s^2

    b) Acceleration in terms of g

    acceleration = 254.9 m/s^2 / [ 9.8 m/s^2 / g] = 26 g.

    This is the acceleration is 26 times the gravitational acceleration.

    c) distance

    d = a*t^2 / 2 = 254.9 m/s^2 * (1.70s) ^2 / 2 = 88.2 m
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