Recall that the flight of a projectile can be modeled with the parametric equations:
,
where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet.
A baseball is hit at an initial speed of 115 mph and angle of 32° at a height of 2 feet above the ground. If home plate is 425 feet from the back fence, which is 12 feet tall, will the baseball clear the back fence for a home run?

Question

Recall that the flight of a projectile can be modeled with the parametric equations:

,

where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet.
A baseball is hit at an initial speed of 115 mph and angle of 32° at a height of 2 feet above the ground. If home plate is 425 feet from the back fence, which is 12 feet tall, will the baseball clear the back fence for a home run?

Quizplus · Accepted Answer

The Answer of Recall that the flight of a projectile can be modeled with the parametric equations: , where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet. A baseball is hit at an initial speed of 115 mph and angle of 32° at a height of 2 feet above the ground. If home plate is 425 feet from the back fence, which is 12 feet tall, will the baseball clear the back fence for a home run?

Recall That the Flight of a Projectile Can Be Modeled