A ball is kicked upward from the ground, with an initial velocity of 24 meters per second, at an angle of 48° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations below. x=(vo cos 0) t y=-4.9t² + (vo sin 0)t + h Here vo is the initial velocity, 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. 0 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
A ball is kicked upward from the ground, with an initial velocity of 24 meters per second, at an angle of 48° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations below. x=(vo cos 0) t y=-4.9t² + (vo sin 0)t + h Here vo is the initial velocity, 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. 0 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
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:A ball is kicked upward from the ground, with an initial velocity of 24 meters per second, at an angle of 48° with respect to the horizontal.
The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations
below.
x= (v₁ cos 0) t
y=-4.9t² + (vo sin 0)t + h
Here vo is the initial velocity, 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.
0
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
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