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17 March, 17:49

If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by

y = 68t - 1.86t2.

(Round your answers to two decimal places.)

(a) Find the average speed over the given time intervals.

(b) Estimate the speed when t = 1.

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Answers (1)
  1. 17 March, 19:53
    0
    (a) dy/dt = 68 - 3.72t

    (b) 64.28m/s

    Step-by-step explanation:

    Given y = 68t - 1.86t²

    Average Speed is rate of chance of distance with respect to time. Written as dy/dt

    To obtain dy/dt, we differentiate y with respect to t, doing that, we have

    dy/dt = 68 - 2 (1.86) t

    = 68 - 3.72t

    (a) dy/dt = 68 - 3.72t

    (b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt.

    dy/dt at t = 1 is

    68 - 3.72 (1)

    = 68 - 3.72

    = 64.28

    The speed at t = 1 is 64.28m/s
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