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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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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