Multivariable Calculus

Free Version

Upgrade subject to access all content

Difficult

Projectile at its Maximal Height

MVCALC-VE6YLO

A baseball is hit one meter above the ground at $28$ meters per second​ and at an angle of $60^{\circ}$ with respect to the ground.

Assuming that the ball moves in a vertical plane and only gravitation influences its path, approximately when and where will the ball reach its maximum height?

A

In $2.47$ seconds, at a height of $29.97$ meters above the ground, at a horizontal distance of $59.89$ meters from where it was hit.

B

In $1.43$ seconds, at a height of $10.99$ meters above the ground, at a horizontal distance of $59.89$ meters from where it was hit.

C

In $2.47$ seconds, at a height of $29.97$ meters above the ground, at a horizontal distance of $34.58$ meters from where it was hit.

D

In $2.47$ seconds, at a height of $30.97$ meters above the ground, at a horizontal distance of $34.58$ meters from where it was hit.

E

In $1.43$ seconds, at a height of $10.99$ meters above the ground, at a horizontal distance of $58.89$ meters from where it was hit.