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Question about Kinematics: Oblique Motion

Physics

Originais Teachy

Kinematics: Oblique Motion

Hard

(Originais Teachy 2023) - Question Hard of Physics

A soccer player wants to make an oblique throw of a ball so that it reaches a teammate who is 35 meters away. Knowing that the ball was thrown at an angle of 45° relative to the ground and that the acceleration due to gravity is 9.8 m/s², what should be the initial velocity of the ball for it to reach exactly where his teammate is? Also, what will be the maximum height reached by the ball during its trajectory? Disregard air resistance.
a.
The initial velocity required for the ball to reach his teammate is approximately 28.00 m/s and the maximum height reached by the ball during its trajectory is approximately 17.00 meters.
b.
The initial velocity required for the ball to reach his teammate is approximately 25.00 m/s and the maximum height reached by the ball during its trajectory is approximately 15.00 meters.
c.
The initial velocity required for the ball to reach his teammate is approximately 15.00 m/s and the maximum height reached by the ball during its trajectory is approximately 9.00 meters.
d.
The initial velocity required for the ball to reach his teammate is approximately 30.00 m/s and the maximum height reached by the ball during its trajectory is approximately 20.00 meters.
e.
The initial velocity required for the ball to reach his teammate is approximately 18.52 m/s and the maximum height reached by the ball during its trajectory is approximately 8.75 meters.

Answer sheet:

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