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A football is kicked into the air vertically upwards with velocity u. The velocity of the ball at the highest point is
- a)u
- b)2u
- c)zero
- d)4u
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A football is kicked into the air vertically upwards with velocity u. ...
Explanation:
When a football is kicked into the air vertically upwards with velocity u, it undergoes projectile motion. In projectile motion, the motion in the vertical direction is independent of the motion in the horizontal direction.
At the highest point of its trajectory, the vertical velocity of the ball becomes zero. This is because the ball reaches its maximum height and starts falling downwards. At this point, the ball momentarily comes to rest before reversing its direction.
Reasoning:
Initial velocity: The ball is kicked vertically upwards with velocity u. Therefore, the initial velocity of the ball is u.
Acceleration: Due to the force of gravity, the ball experiences a downward acceleration of g (acceleration due to gravity), which is approximately 9.8 m/s^2.
Maximum height: To find the velocity of the ball at the highest point, we need to determine the time taken by the ball to reach its maximum height. At the highest point, the vertical displacement of the ball is zero. Using the equation of motion, we can calculate the time taken to reach the maximum height:
v = u + at
0 = u - g * t_max
t_max = u / g
Velocity at the highest point: Now that we have determined the time taken to reach the maximum height, we can find the velocity at this point using the equation of motion:
v = u + at
v = u + (-g) * t_max
v = u + (-g) * (u / g)
v = u - u
v = 0
Therefore, the velocity of the ball at the highest point is zero (option C).
When a football is kicked into the air vertically upwards with velocity u, it undergoes projectile motion. In projectile motion, the motion in the vertical direction is independent of the motion in the horizontal direction.
At the highest point of its trajectory, the vertical velocity of the ball becomes zero. This is because the ball reaches its maximum height and starts falling downwards. At this point, the ball momentarily comes to rest before reversing its direction.
Reasoning:
Initial velocity: The ball is kicked vertically upwards with velocity u. Therefore, the initial velocity of the ball is u.
Acceleration: Due to the force of gravity, the ball experiences a downward acceleration of g (acceleration due to gravity), which is approximately 9.8 m/s^2.
Maximum height: To find the velocity of the ball at the highest point, we need to determine the time taken by the ball to reach its maximum height. At the highest point, the vertical displacement of the ball is zero. Using the equation of motion, we can calculate the time taken to reach the maximum height:
v = u + at
0 = u - g * t_max
t_max = u / g
Velocity at the highest point: Now that we have determined the time taken to reach the maximum height, we can find the velocity at this point using the equation of motion:
v = u + at
v = u + (-g) * t_max
v = u + (-g) * (u / g)
v = u - u
v = 0
Therefore, the velocity of the ball at the highest point is zero (option C).
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A football is kicked into the air vertically upwards with velocity u. ...
The velocity of the ball at the highest point is zero.
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