Question

1. What is the y component of a vector (in the xy plane) whose magnitude is 88.9 and whose x component is 75.4?

Express your answer numerically. If there is more than one answer, enter each answer separated by a comma.

2.A ball is shot from the top of a building with an initial velocity of 20 m/s at an angle θ = 45 ∘ above the horizontal.

A. What are the x and y components of the initial velocity?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

B.If a nearby building is the same height and 59 m away, how far below the top of the building will the ball strike the nearby building?

Express your answer using two significant figures.

Answer 1

1. Given

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ANSWER:

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2.

Given

ANSWER:

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ANSWER:

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B). First find the time to cover the horizontal distance of 59m

There is no acceleration in horizontal direction,so horizontal velocity remains same

Horizontal velocity =Horizontal distance/time

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Consider the vertical motion of the ball

The ball will rise reach a max height then fall down

Rising Part

At max height vertical velocity becomes zero

Use formula

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Time to reach max height

Use formula

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Time left before striking the opposite building =4.17s - 1.44s =2.73m

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Falling Part

Use formula

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This height is measured from Max height

We need height measured from Top of the building

ANSWER: =H-h

ANSWER:

The Ball will strike below 26.366m from the top of the building

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