Question bank: Kinematics: Oblique Motion Equation

A Physics student is analyzing the motion of a rock thrown from a height of 10 meters, from a point located on a vertical cliff. The rock is thrown horizontally at a speed of 4 m/s. Considering the acceleration due to gravity as 10 m/s² and neglecting air resistance, determine: a) The horizontal distance traveled by the rock when it reaches the ground. b) The total flight time of the rock, from the moment of launch until it reaches the ground. Explain also, using the concepts of projectile motion, why the trajectory described by the rock can be decomposed into a uniform horizontal motion and a uniformly accelerated vertical motion.

An amusement park has just opened a ride called 'Ball Launcher', where visitors try to hit targets by launching basketballs with a giant slingshot. The targets are located at a horizontal distance of 30 meters from the launcher. A visitor is able to apply a force to the slingshot, launching the ball at an initial speed of 20 m/s at an angle of 30° relative to the ground. Considering negligible air resistance and gravity acceleration equal to 10 m/s², solve the following items: a) Determine the initial horizontal and vertical velocities of the ball. b) Calculate the time it takes for the ball to hit the target. c) Find the maximum height reached by the ball relative to the ground during its trajectory.

A drone is being used to monitor the area of a terrain that needs to be analyzed for the adequacy and implementation of a wind farm. Considering that the drone was launched from the ground with an initial speed of 80 m/s, at an angle of 30° with the horizontal, answer: What is the maximum height reached by the drone during its flight?

When launching a projectile in horizontal motion, we can observe that the time taken to cover a certain distance is directly related to the initial velocity of the projectile. Considering that the time taken to cover 100 horizontal meters was 10 seconds, what was the initial velocity of this projectile?

A soccer ball was kicked with an initial velocity of 20 m/s, forming a 30° angle with the horizontal ground, on a flat field with no air resistance. Using the concept of oblique motion, determine the maximum horizontal range of the ball and the time of flight until it hits the ground again. Which of the following alternatives presents the correct values for the horizontal range (R) and the time of flight (t)?