Question bank: Kinematics: Oblique Motion

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Question 1:

Medium

Kinematics: Oblique Motion

Question 2:

Medium

A soccer player kicks a ball with an initial velocity of 20 m/s, forming an angle of 30° with the ground. Considering no air resistance and gravity acceleration of 9.81 m/s², answer: a) Calculate the horizontal and vertical components of the ball's initial velocity. b) Determine the time the ball is in the air until it hits the ground again. c) Calculate the horizontal distance traveled by the ball before touching the ground.

Kinematics: Oblique Motion

Question 3:

Very Hard

A projectile is launched from a height H with an initial velocity V0 of 20 m/s, forming an angle of 30 degrees with the horizontal. Disregarding air resistance and considering gravity acceleration as g = 10 m/s^2, calculate the time it takes for the projectile to reach the ground and the horizontal range from the launch point to the impact point, assuming the ground is level. Consider the projectile's motion as a combination of uniform horizontal motion and uniformly accelerated vertical motion. Use sin(30 degrees) = 0.5 and cos(30 degrees) = 0.87 to facilitate calculations.

Kinematics: Oblique Motion

Contextualized Question

Calculus Question

Question 4:

Hard

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.

Kinematics: Oblique Motion

Theorical Question

Contextualized Question

Question 5:

Very Easy

A projectile is launched from a height h with an initial velocity v forming an angle of 45 degrees with the horizontal. Neglecting air resistance, calculate the time it takes for the projectile to reach the ground and the maximum horizontal range of the projectile, in terms of the acceleration due to gravity g.

Kinematics: Oblique Motion

Contextualized Question

Calculus Question

IARA TIP

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