Mastering Physics Solutions: Arrow Hits Apple

Mastering Physics Solutions: Arrow Hits Apple

On September 17, 2013, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = 6.70 s
Part B = 5.59 s

Find the time that the arrow spends in the air.
Suppose someone drops an apple from a vertical distance of 6.0 meters, directly above the point where the arrow hits the tree. How long after the arrow was shot should the apple be dropped, in order for the arrow to pierce the apple as the arrow hits the tree?

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Mastering Physics Solutions: A Canoe on a River

Mastering Physics Solutions: A Canoe on a River

On September 17, 2013, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = 0.4018 m/s
Part B = 75.43 °

Find the magnitude of the velocity of the canoe relative to the river.
Find the direction of the velocity of the canoe relative to the river.

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Mastering Physics Solutions: Speed of a Softball

Mastering Physics Solutions: Speed of a Softball

On September 16, 2013, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = 18.77 m/s
Part B = 31.50 °
Part C = 16.0, -8.82 m/s

Find v0. Use g = 9.807 m/s2 for the magnitude of the acceleration due to gravity.
Find the angle in degrees.
Find a vector expression for the velocity v of the softball 0.1 s before the ball is caught.
Find a vector expression for the position r of the softball 0.1 s before the ball is caught.

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Mastering Physics Solutions: Delivering a Package by Air

Mastering Physics Solutions: Delivering a Package by Air

On September 15, 2013, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = 11.95 s
Part B = 1,389 m
Part C = 369 mph

After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 260 mph in the horizontal direction.
If the package is to land right on the island, at what horizontal distance D from the plane to the island should the package be released?
What is the speed vf of the package when it hits the ground?

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Mastering Physics Solutions: Crossing a River

Mastering Physics Solutions: Crossing a River

On January 15, 2012, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = 4.04 km/h Click to use the calculator/solver for this part of the problem

A swimmer wants to cross a river, from point A to point B, as shown in the figure.
To swim directly from A to B, what speed us, relative to the water, should the swimmer have?

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Mastering Physics Solutions: Introduction to Projectile Motion

Mastering Physics Solutions: Introduction to Projectile Motion

On January 15, 2012, in Chapter 03: Motion in Two Dimensions, by Mastering Physics Solutions

Part A = -6.00m/s Click to use the calculator/solver for this part of the problem
Part B = 10.4m/s Click to use the calculator/solver for this part of the problem
Part C = The vertical component exhibits motion with constant nonzero acceleration, whereas the horizontal component exhibits constant-velocity motion
Part D = 1.0s Click to use the calculator/solver for this part of the problem
Part E = 3.0m/s Click to use the calculator/solver for this part of the problem

Consider a particle with initial velocity v that has magnitude 12.0m/s and is directed 60.0 degrees above the negative x axis.
Look at this applet. The motion diagram for a projectile is displayed, as are the motion diagrams for each component. The x component motion diagram is what you would get if you shined a spotlight down on the particle as it moved and recorded the motion of its shadow. Similarly, if you shined a spotlight to the left and recorded the particle’s shadow, you would get the motion diagram for its y component. How would you describe the two motion diagrams for the components?

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