The distance traveled by a ball rolling down an inclined plane varies directly as the square of the time. If the inclination of the plane is such that the ball traveled 27 ft at the end of 3 sec, what is the distance traveled at the end of 2 sec?

Question

Mathematics

Rosa

19 October, 09:59

The distance traveled by a ball rolling down an inclined plane varies directly as the square of the time. If the inclination of the plane is such that the ball traveled 27 ft at the end of 3 sec, what is the distance traveled at the end of 2 sec?

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Answers (1)

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Lilia Villanueva · Answer 1

Answer:12 ft

Step-by-step explanation:

Distance travelled, d varies directly as time, t^2

d = kt^2 where k is proportionality constant.

When d = 27 and t = 3

27 = 9k

k = 3

d = 3t^2

when t = 2,

d = 3 * 2^2

=12ft