. A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80- m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What the magnitude of the velocity of the shell as it hits the ground? Hint: you need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter. 80 m 1330 m 127 05

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Chapter1: Units, Trigonometry. And Vectors
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**Problem 24:**

A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80 m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the magnitude of the velocity of the shell as it hits the ground?

*Hint:* You need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter.

**Choices:**

A) 4.0 m/s

B) 9.8 m/s

C) 82 m/s

D) 170 m/s

E) 332 m/s

The diagram illustrates a shell being fired horizontally from an 80 m high cliff. Its path is shown as a curved line down to the ground, landing 1330 m away from the base of the cliff. The problem requires calculating the magnitude of the shell's velocity when it impacts the ground.

The correct answer is circled: **E) 332 m/s**.
Transcribed Image Text:**Problem 24:** A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80 m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the magnitude of the velocity of the shell as it hits the ground? *Hint:* You need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter. **Choices:** A) 4.0 m/s B) 9.8 m/s C) 82 m/s D) 170 m/s E) 332 m/s The diagram illustrates a shell being fired horizontally from an 80 m high cliff. Its path is shown as a curved line down to the ground, landing 1330 m away from the base of the cliff. The problem requires calculating the magnitude of the shell's velocity when it impacts the ground. The correct answer is circled: **E) 332 m/s**.
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