A ball is thrown upward, with an initial velocity of 30 meters per second, at an angle of 61° with respect to the horizontal.

Question

A ball is thrown upward, with an initial velocity of 30 meters per second, at an angle of 61° with respect to the horizontal. The ball is thrown from a height of 6
meters off the ground.

The horizontal distance x from the starting point and the height y above the ground of the ball / seconds after it is thrown are given by the parametric equations
below.

x=(vocosθ) t
y=-4.9t² + (vosinθ)t + h

Here vo is the initial velocity, 8 is the initial angle with respect to the horizontal, and h is the initial height.

Use the equations to answer the following questions.

(a) How long is the ball in the air before it first touches the ground?
Do not round any intermediate computations. Round your answer to
the nearest hundredth.
seconds
(b) What is the horizontal distance that the ball travels before it first
touches the ground?
Round your answer to the nearest whole number.
meters

Kunduz · Accepted Answer

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