SOLUTION: The range of a projectile is directly proportional to the square of its velocity. If a motorcyclist can make a jump of 247.0 feet by coming off a ramp at 71 mph, find the distance

Question 317483: The range of a projectile is directly proportional to the square of its velocity. If a motorcyclist can make a jump of 247.0 feet by coming off a ramp at 71 mph, find the distance the motorcyclist could expect to jump if the speed coming off the ramp were increased to 76 mph. Round to the nearest tenth of a foot.
please help me solve! explain this to me please.
thanks
cz
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The range of a projectile is directly proportional to the square of its velocity. If a motorcyclist can make a jump of 247.0 feet by coming off a ramp at 71 mph, find the distance the motorcyclist could expect to jump if the speed coming off the ramp were increased to 76 mph. Round to the nearest tenth of a foot.
.
When you see "directly proportiona" think
y = kx
where k is a constant
.
To find k, use:
"If a motorcyclist can make a jump of 247.0 feet by coming off a ramp at 71 mph"
247 = k(71)
247/71 = k
3.479 = k
.
Now, you have the realtion:
y = 3.479x
.
So, to answer:
"find the distance the motorcyclist could expect to jump if the speed coming off the ramp were increased to 76 mph"
y = 3.479x
y = 3.479(76)
y = 264.4 feet

RELATED QUESTIONS
The range of a projectile is directly proportional to the square of its velocity. If a... (answered by Alan3354)

MOTORCYCLE JUMP: The range of a projectile is directly proportional to the square of its (answered by texttutoring)

The velocity of a falling object is directly proportional to the time t of the fall. If,... (answered by josgarithmetic)

The range of a projectile is the horizontal distance it travels before it reaches the... (answered by ikleyn)

The distance required for a car to stop is directly proportional to the square of its... (answered by checkley71,chitra)

The distance required for a car to stop is directly proportional to the square of its... (answered by dolly)

If an athlete could jump 23.5 ft. when his takeoff velocity is 9.2 m/s, how far could he (answered by ikleyn)

The position of a projectile P shot directly upwards from the surface of the earth is... (answered by stanbon)