Question

The maximum, range of a projectile is directly proportional to the square of its velocity. A baseball pitcher throws a ball at 60 mph, with a maximum range of 242 ft. What is his maximum range if he throws the ball at 70 mph?

Answer 1

"The maximum, range of a projectile is directly proportional to the square of its velocity"
-----> range = k(velocity)^2 , where k is a constant

when vel=60, range = 242
242 = k(3600)
k = 242/3600 = 121/1800

r = (121/1800)v^2
when v=70
r = (121/1800)(4900) = 5929/18 = appr. 329 ft

Answer 2

Thanks a bunch

Answer 3

The range of projectile is directly proportional to