Using Equation Substitution Video Lessons

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Problem: A cannon is placed on a tower an UNKNOWN height h from the ground. The cannon is inclined an angle α from the horizontal when a ball is fired. Assuming that there is no friction, that the initial speed of the ball is v0, and that the ball lands a distance L from the base of the tower: a) How high above ground does the ball go? b) What is the speed of the ball at the maximum height? c) What is the height h of the tower? If needed, you can assume you know h for parts (a) and (b). Write your results in terms of α, v  0, L, g, and h (only for parts a and b). Remember to check the dimensions/units for each answer.

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Problem Details

A cannon is placed on a tower an UNKNOWN height h from the ground. The cannon is inclined an angle α from the horizontal when a ball is fired. Assuming that there is no friction, that the initial speed of the ball is v0, and that the ball lands a distance L from the base of the tower:

a) How high above ground does the ball go?

b) What is the speed of the ball at the maximum height?

c) What is the height h of the tower?

If needed, you can assume you know h for parts (a) and (b). Write your results in terms of α, v  0, L, g, and h (only for parts a and b). Remember to check the dimensions/units for each answer.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Using Equation Substitution concept. You can view video lessons to learn Using Equation Substitution. Or if you need more Using Equation Substitution practice, you can also practice Using Equation Substitution practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 5 minutes and 13 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Chakraborty's class at UCSD.