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Zolol
21 day ago
13

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

Mathematics
1 answer:
zzz [9K]21 day ago
6 0

Answer

(a) dy/dt = 68 - 3.72t

(b) 64.28 m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

The average speed describes the change in distance over time, represented by dy/dt.

To find dy/dt, we differentiate y with respect to t, resulting in:

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To determine the speed at t = 1, input t = 1 into dy/dt.

dy/dt at t = 1 is:

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 amounts to 64.28 m/s

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