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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
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3.12 | Motion in Two Dimensions. Projectile Motion |
1. A cannon fires a projectile at 300 m/s from the ground level and the barrel forms a 53° angle to the vertical direction as shown in the figure.
Ignoring the air resistance and taking the magnitude of gravity equal to 10 m/s2, calculate the coordinates of the target if the projectile hits the target horizontally. Take the initial coordinates of the projectile as (0, 0). Also take cos 53° = 0.6 and sin 53° = 0.8.
Correct Answer: B
2. An object thrown from (0, 0) at an angle θ to the horizontal direction reaches its highest position at A (19.2 m, 7.2 m). What is tan θ if the air resistance is ignored? Take the magnitude of gravitational acceleration equal to 10 m/s2.
Correct Answer: A
3. A boy kicks a ball at θ = 45° to the horizon (cos 45° = sin 45° = 0.71). The magnitude of the ball's initial velocity is 25 m/s. How far is the boy from the goal if the ball hits the upper post, which is 2.5 m high? Ignore the air resistance and take the magnitude of g equal to 10 m/s2. The ball is falling down when it hits the post.
Correct Answer: D
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