A cannonball is launched from the top of a flat mountainside, which slopes upwards at 35 degrees with respect to the horizontal. The cannonball exits the cannon moving at 150 m/s, at an angle of 55 degrees with respect to the horizontal. a) How much time (in seconds) elapses between the moment the cannonball is fired and the moment it lands on the mountainside. b) How far down the mountainside (in meters) does the cannonball land? Vo 55° 35

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Chapter1: Units, Trigonometry. And Vectors
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**Problem 13:**

A cannonball is launched from the top of a flat mountainside, which slopes upwards at 35 degrees with respect to the horizontal. The cannonball exits the cannon moving at 150 m/s, at an angle of 55 degrees with respect to the horizontal.

a) How much time (in seconds) elapses between the moment the cannonball is fired and the moment it lands on the mountainside?

b) How far down the mountainside (in meters) does the cannonball land?

**Diagram Explanation:**

- The diagram shows the mechanics of the projectile motion.
- The mountainside is depicted with an orange triangle inclined at 35 degrees to the horizontal.
- A curve, representing the trajectory of the cannonball, is drawn starting from the top left corner of the slope, going upwards, and landing further down the slope.
- The initial velocity vector, \(V_0\), is illustrated as a black arrow launching at an angle of 55 degrees with respect to the horizontal.
Transcribed Image Text:**Problem 13:** A cannonball is launched from the top of a flat mountainside, which slopes upwards at 35 degrees with respect to the horizontal. The cannonball exits the cannon moving at 150 m/s, at an angle of 55 degrees with respect to the horizontal. a) How much time (in seconds) elapses between the moment the cannonball is fired and the moment it lands on the mountainside? b) How far down the mountainside (in meters) does the cannonball land? **Diagram Explanation:** - The diagram shows the mechanics of the projectile motion. - The mountainside is depicted with an orange triangle inclined at 35 degrees to the horizontal. - A curve, representing the trajectory of the cannonball, is drawn starting from the top left corner of the slope, going upwards, and landing further down the slope. - The initial velocity vector, \(V_0\), is illustrated as a black arrow launching at an angle of 55 degrees with respect to the horizontal.
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