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If a rock is thrown upward on the planetMars with a velocity of 10m/s, its heigh

ID: 3140535 • Letter: I

Question

If a rock is thrown upward on the planetMars with a velocity of 10m/s, its height (in meters) after tseconds is given by H=10t-1.86t^2.

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?

I don't understand why I can't just plug t=1 into part a)?

When I tried to plug t=1 into part a), I got an answer of 8.14 m/s, which is a wrong answer, but I don't understand why is wrong.

I do know that taking the derivative from the equation given will probably be the best way to solve this problem.

However, I still want to know why I can't just simply plug the t=1 into the equation and solve part a).

Thank you very much for reading this question.

Explanation / Answer

H is the function for height of the rock,not for the velocity where velocity = dh/dt

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