5. A football is kicked off with an initial speed of 64 ft/s at a projection angle of 45 °. A receiver 180 ft. away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to catch the ball just before it hits the ground? Neglect air resistance. Answer: 5.61 m/s um elevation 1
5. A football is kicked off with an initial speed of 64 ft/s at a projection angle of 45 °. A receiver 180 ft. away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to catch the ball just before it hits the ground? Neglect air resistance. Answer: 5.61 m/s um elevation 1
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please solve 5 and 6

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### Physics Problems in Projectile Motion and Dynamics
**1. A cannonball is fired at an angle of 38°, and has a muzzle velocity of 122 m/s.**
- (a) What is the x-component of the velocity of the cannonball as it leaves the cannon?
- (b) What is the y-component of the velocity of the cannonball as it leaves the cannon?
- (c) What are the x-component and the y-component of the velocity just before the ball hits the ground?
- (d) What are the x-component and the y-component of the velocity when the ball is at the peak of its trajectory?
**Answers:**
- (a) 96.1 m/s
- (b) 75.1 m/s
- (c) 96.1 m/s, -75.1 m/s
- (d) 96.1 m/s, 0
**2. You toss a rock off the top of a building that is 70 m high, throwing it initially in the horizontal direction with a velocity of 13 m/s.**
- (a) Fill out the following chart, leaving a "?" for any unknown values at this point. Please note as well that \(v_x\) and \(v_y\) at the end of the flight are NOT ZERO.
```
\(x_0 =\)
\(y_0 =\)
\(x =\)
\(y =\)
\(v_{0x} =\)
\(v_{0y} =\)
\(v_x =\)
\(v_y =\)
\(a_x =\)
\(a_y =\)
\(t =\)
```
- (b) How long does the rock take to fall before it reaches the ground? Would this time change if it were initially thrown in the same direction with a velocity of 26 m/s?
- (c) How far, in the x-direction, does the rock land away from the building?
- (d) What are the velocities of the rock in the x and y direction just before it hits the ground?
**Answers:**
- (b) 3.78 s
- (c) 49.1 m
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