The cannonball will travel 311.8 m horizontally. Among the given options, 310 m is the correct answer.
What is a Projectile ?
A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.
The following parameters are given from the question
Resolve the initial velocity into horizontal and vertical components. That is,
- Horizontal component = ucosФ
- Vertical component = usinФ
To calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 312 m approximately horizontally.
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