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23 April, 01:49

A dump truck accelerates uniformly from a resting position to a velocity of 35 m/s north in 20 seconds. What is the displacement?

a.) 1.75 m north

b.) 61.25 m north

c.) 350 m north

d.) 700 m north

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Answers (1)
  1. 23 April, 03:36
    0
    As this is a straight-line motion problem, the following formulas will be used to solve for acceleration, which is used to solve for displacement:

    Vf = Vi + a * t

    s = Vi * t + 1/2 (a*t^2)

    Where: Vf = final velocity

    Vi = initial velocity

    a = acceleration

    t = time

    s = displacement

    Using eq. 1:

    35 m/s = 0 m/s + a * 20 s

    a = 35 / 20

    a = 1.75 m/s^2

    Using eq. 2:

    s = 0 * 20 + 1/2 (1.75 * 20^2)

    s = 350 m

    Therefore, the correct answer is C.
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