Question

During a training exercise a cannon ball is fired with a muzzle velocity of 70.5 m/s at an angle of 45° above the horizontal. Determine how far from the cannon the ball will land when it hits the ground.

Answer 1

To determine how far the cannonball will land when it hits the ground, we need to analyze its horizontal and vertical motion separately. The horizontal distance traveled by the cannonball is 721 m.

Step-by-step explanation:

To determine how far the cannonball will land when it hits the ground, we need to analyze its horizontal and vertical motion separately.

First, let's calculate the time of flight. We can use the formula:

t = 2u sin(θ)/g

where u is the initial velocity and θ is the launch angle.

Substituting the given values, we have t = 2(70.5 m/s) sin(45°)/9.8 m/s2 = 10.2 s.

Now, we can calculate the horizontal distance using the formula:

d = u cos(θ)·t

Substituting the given values, we have d = (70.5 m/s) cos(45°)·10.2 s = 721 m.