Range of a projectile It is known from physics that the range R of a projectile is directly proportional to the square of its velocity v. (a) Express R as a function of v by means of a formula that involves a constant of proportionality k. (b) A motorcycle daredevil has made a jump of 150 feet. If the speed coming off the ramp was 70 mi/hr, find the value of k in part (a). (c) If the daredevil can reach a speed of 80 mi/hr coming off the ramp and maintain proper balance, estimate the possible length of the jump.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Range of a projectile It is known from physics that the
range R of a projectile is directly proportional to the square
of its velocity v.
(a) Express R as a function of v by means of a formula that
involves a constant of proportionality k.
(b) A motorcycle daredevil has made a jump of 150 feet. If
the speed coming off the ramp was 70 mi/hr, find the
value of k in part (a).
(c) If the daredevil can reach a speed of 80 mi/hr coming
off the ramp and maintain proper balance, estimate the
possible length of the jump.
Transcribed Image Text:Range of a projectile It is known from physics that the range R of a projectile is directly proportional to the square of its velocity v. (a) Express R as a function of v by means of a formula that involves a constant of proportionality k. (b) A motorcycle daredevil has made a jump of 150 feet. If the speed coming off the ramp was 70 mi/hr, find the value of k in part (a). (c) If the daredevil can reach a speed of 80 mi/hr coming off the ramp and maintain proper balance, estimate the possible length of the jump.
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