Luna Munoz
06/03/2023 · Middle School
A particle moves on a line away from its initial position so that after \( t \) hours it is \( s=4 t^{2}+t \) miles from its initial position, (a) Find the average velocity of the particle over the interval \( [2,4] \). \( v_{\text {ave }}= \) i \( \mathrm{mi} / \mathrm{h} \) (b) Find the instantaneous velocity at \( t=2 \). \( v_{\text {inst }}= \) i \( \mathrm{mi} / \mathrm{h} \)
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(a) The average velocity over the interval \([2, 4]\) is 25 mi/h.
(b) The instantaneous velocity at \(t = 2\) is 17 mi/h.
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