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Name: 6. A projectile is launched at ground level with an initial speed of 4
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Description: 6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 43P: An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a...

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6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to where it lands?

7. A ball is thrown horizontally from the top of a 54.0-m building and lands 117.3 m from the base of the building. Ignore air resistance. (Assume the ball is thrown in the +x direction and upward to be in the +y direction.)

(a)

How long (in s) is the ball in the air?

(b)

What must have been the initial horizontal component of the velocity (in m/s)? (Indicate the direction with the sign of your answer.)

m/s

(c)

What is the vertical component of the velocity (in m/s) just before the ball hits the ground? (Indicate the direction with the sign of your answer.)

m/s

(d)

What is the velocity (in m/s) (including both the horizontal and vertical components) of the ball just before it hits the ground?

magnitude m/sdirection ° counterclockwise from the +x-axis

An arrow is shot from a height of 1.7 m toward a cliff of height H. It is shot with a velocity of 31 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.4 s later.

(a)

What is the height of the cliff (in m)?

(b)

What is the maximum height (in m) reached by the arrow along its trajectory?

(c)

What is the arrow's impact speed (in m/s) just before hitting the cliff?

m/s

Suppose a soccer player kicks the ball from a distance 40 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 49° above the horizontal.

m/s

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