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A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle of elevation of 30 degrees. If the wind is blowing such that the ball moves at a constant 3 m/s to the east, where does the ball land? Set up the acceleration, velocity, and position vector functions to solve this problem.

A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle of elevation of 30 degrees. If the wind is blowing such that the ball moves at a constant 3 m/s to the east, where does the ball land? Set up the acceleration, velocity, and position vector functions to solve this problem.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
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A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle of elevation of 30 degrees. If the wind is blowing such that the ball moves at a constant 3 m/s to the east, where does the ball land? Set up the acceleration, velocity, and position vector functions to solve this problem.
Transcribed Image Text:A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle of elevation of 30 degrees. If the wind is blowing such that the ball moves at a constant 3 m/s to the east, where does the ball land? Set up the acceleration, velocity, and position vector functions to solve this problem.
Expert Solution
Step 1

Given initial velocity of ball is 10 m/sec.

Angle of elevation is 30°.

The ball moves at a constant 3 m/sec to the east.

Therefore, the ball is projected with an angle so that the velocity will be resolved into vertical and horizontal components.

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