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myrzilka [38]
3 years ago
6

Find the distance traveled in 35 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
s(t)= \int\limits^{35}_0 {v(t)} \, dt \\ =\int\limits^{35}_0 {(20+5cos(t))} \, dt \\ =[20t+5sin(t)]^{35}_0 \\ =(20(35)+5sin(35))-(20(0)+5sin(0)) \\ =700+2.868=702.868 \, feet
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Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

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The general formula for the geometric progression modelling this scenario is:

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r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

f_{0} = 9

r = 0.7 = 70%

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