In a dream, you find that you can run at

In a dream, you find that you can run at

In a dream, you find that you can run at superhuman speeds, but there is also a resistant force that reduces your speed by one-half for each second that passes. Assume that the laws of physics still hold in your dreamworld, and that your initial speed is 1000 m/s.
(a) Sketch a smooth function v(t) that gives your velocity.
(b) What is your average velocity over the first 10 s?

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