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Asked Sep 7, 2019
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14. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in
meters) after t seconds is given by H = 10t - 1.86t2
a. Find the velocity of the rock after one second.
b. Find the velocity of the rock when t = a
c. When will the rock hit the surface?
d. With what velocity will the rock hit the surface?
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14. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 10t - 1.86t2 a. Find the velocity of the rock after one second. b. Find the velocity of the rock when t = a c. When will the rock hit the surface? d. With what velocity will the rock hit the surface?

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

a. Velocity= first derivative of H

After 1 sec, we plug t=1. 

v=10-(3.72(1))

v=6.28

Answer:(a): 6.28 m/s

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H 10t-1.86t 2 dH Or, 10(1)-1.86(2t) dt Or, v10-3.72t

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Step 2

velocity of the rock when t=a, then H=10a-1.8...

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