Problem 5 You are really angry at your family, and in your frustration you decide you are going to throw the pizza you bought for dinner onto the roof of your house. You are 6 meters from the house and the roof of the house is 3 meters above the ground. Assuming you toss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (above the horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Give your answer to 2 significant figures.

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Chapter1: Units, Trigonometry. And Vectors
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**Problem 5**

You are really angry at your family, and in your frustration, you decide you are going to throw the pizza you bought for dinner onto the roof of your house. You are 6 meters from the house and the roof of the house is 3 meters above the ground. Assuming you toss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (above the horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Give your answer to 2 significant figures.
Transcribed Image Text:**Problem 5** You are really angry at your family, and in your frustration, you decide you are going to throw the pizza you bought for dinner onto the roof of your house. You are 6 meters from the house and the roof of the house is 3 meters above the ground. Assuming you toss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (above the horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Give your answer to 2 significant figures.
Expert Solution
Step 1

Consider the following diagram.

Physics homework question answer, step 1, image 1

 

Here, A represents the point from where the pizza is thrown, u is the initial velocity of the pizza, Ө is the angle at which the pizza is thrown, P is the point where the pizza lands on the roof, h is the height of the roof from the ground level, d is the horizontal distance of the point A from the house, ux = u cos60o is the horizontal component of the velocity, and uy = u sin60o is the vertical component of the velocity.

Note that the vertical component of the acceleration is given as,

ay = - g

The horizontal component of the acceleration is given as,

ax  = 0

 

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