Question

1. Using the two equations below, show that the final position of the monkey and ball are the same because of the acceleration due to gravity. At the final position of the monkey and ball, the height of both will be the same. They will also have the same time (t) since they will collide simultaneously. Please arrange your work in an orderly fashion so it may be graded accordingly.

2.      How long would it take a projectile shot from a cannon at 145 m/s, aimed at 45° above the horizon, to reach an altitude of 120 m?

3. If the initial velocity of the above cannon were adjustable, what velocity would be required to shoot the ball exactly a distance of 100 m? Use the following equation and solve:

4. The US Army and Marine Corps use a 39-caliber artillery weapon called the
Ultra-light-weight Field Howitzer (UFH). It fires a projectile at 827 m/s. What is the weapon’s maximum range in combat? (Use the above equation from problem 3)

5.What would be the effect of firing a projectile in space? What would be its trajectory? Explain your answers.?

Answer 1

Part 1:

Please provide the equations.

Part 2:

Using equation

Now,

solving we get:

Keeping the circumstances, the projectile will take 1.24 sec to cover 120 m distance.

PArt 3:

using equation:

Part 4:

Maximum range is at 45 degree

So, using equation:

(maximum time)

(maximum range)

Part 5:

Yes, we can fire a projectile in space. It would be same as that of firing a projectile as on earth just that the after firing path will be different. It will travel in space for an infinite amount of time as their is no gravitational force there.