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Multivariable Calculus

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Moderate

Projectile Hitting the Ground

MVCALC-AHVIGN

A baseball is hit one meter above the ground at $32$ meters per second, and at angle of $45^{\circ}$ 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 hit the ground?

A

$4.66$ seconds later, at a horizontal distance of $104.31$ meters from where it was hit.

B

$3.32$ seconds later, at a horizontal distance of $75.12$ meters from where it was hit.

C

$4.66$ seconds later, at a horizontal distance of $105.44$ meters from where it was hit.

D

$4.6$ seconds later, at a horizontal distance of $104.31$ meters from where it was hit.

E

$4.6$ seconds later, at a horizontal distance of $105.44$ meters from where it was hit.