Section 4.3 Projectile MotionA physics student on Planet

Chapter 4, Problem 11E

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QUESTION:

A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in FIGURE EX4.11. The ball's position is shown at \(1 \mathrm{~s}\) intervals until \(t=3 \mathrm{~s}\). At \(t=1 \mathrm{~s}\), the ball's velocity is \(\vec{v}=(2.0 \hat{\imath}+2.0 \hat{\jmath}) \mathrm{m} / \mathrm{s}\).

a. Determine the ball's velocity at \(t=0 \mathrm{~s}, 2 \mathrm{~s}\), and \(3 \mathrm{~s}\).

b. What is the value of \(g\) on Planet Exidor?

c. What was the ball's launch angle?

                                         

Equation Transcription:

Text Transcription:

1 s

t=3 s

t=1 s

^vec v=(2.0 ^hat i+2.0 ^hat j) m /s

t=0 s, 2 s, 3 s

g

Questions & Answers

QUESTION:

A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in FIGURE EX4.11. The ball's position is shown at \(1 \mathrm{~s}\) intervals until \(t=3 \mathrm{~s}\). At \(t=1 \mathrm{~s}\), the ball's velocity is \(\vec{v}=(2.0 \hat{\imath}+2.0 \hat{\jmath}) \mathrm{m} / \mathrm{s}\).

a. Determine the ball's velocity at \(t=0 \mathrm{~s}, 2 \mathrm{~s}\), and \(3 \mathrm{~s}\).

b. What is the value of \(g\) on Planet Exidor?

c. What was the ball's launch angle?

                                         

Equation Transcription:

Text Transcription:

1 s

t=3 s

t=1 s

^vec v=(2.0 ^hat i+2.0 ^hat j) m /s

t=0 s, 2 s, 3 s

g

ANSWER:

Step 1 of 4

For the given projectile motion of the ball (parabolic trajectory) on the Planet exidor, we need to calculate the ball's velocity at times \(t=0 s, 2 s\) and \(3 s\). Also we need to calculate the acceleration due to gravity on the Planet exidor. Finally we need to find the launch angle of the ball.

The velocity of the ball at time \(t=1\) is given to be \(V=2 \hat{i}+2 \hat{j}\)

 

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