Question

A cannonball is launched from ground level. The launch angle is 60°, with initial speed vᵢ = 100 m/s. How far does the cannonball go?

a. 884 m
b. 442 m
c. 100 m
d. 1125 m

Answer 1

The cannonball will go approximately 884 meters.

Step-by-step explanation:

The distance covered by a projectile depends on its initial speed and launch angle. In this case, the cannonball is launched at an angle of 60° with an initial speed of 100 m/s.

To determine how far the cannonball will go, we can break down its initial velocity into horizontal and vertical components. The horizontal component stays constant throughout the motion, while the vertical component is affected by gravity.

Using the equation of motion for the horizontal distance, we can calculate the time of flight and then multiply it by the horizontal component of the velocity to find the distance covered. In this case, the cannonball will go approximately 884 meters (option a).