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Tennis and the horizontal launch

Enunciado: A tennis ball located 2 m height is hit by a player with his racket. The ball shoots out horizontally with a velocity of 30 m/s. Answer the following questions: a) How long does the ball takes to hit the ground? b) What is the angle of the vel ...

Horizontal launch of a rolling ball

Enunciado: A golf ball rolls with constant velocity on the surface of a table 2.5 m above the ground. When it reaches the edge, it falls off the table as if horizontally launched so that at 0.4 s it is at a horizontal distance of 1 m from the edge of the ...

Elevation angle in a parabolic kick

Enunciado: Determine the angle in relation to the horizontal, that you must kick a ball to the goal so that it scores barely touching the upper goal post, which is located at a height of 2.45 m, and 9 m away from the starting point. The ball is launched ...

Launching distance in parabolic motion

Enunciado: We have a small device that can launch missiles with a velocity of v → = 3 · i → + 4 · j → m / s. Determine how far we must be to hit a target if: the height from which the launch occurs is 1.8 m the target is at a height of 1.5 m Español Id ...

Flight time, initial velocity and maximum height in parabolic motion

Enunciado: A 1.95 m tall shot put athlete put the shot 25 meters away. Knowing that the path begins with an elevation of 40°, calculate: The shot flight time The shot initial velocity The motion maximum height Español Idioma Inglés Solución: Data Initia ...

Gooooooooaall!!! Paraaaaboliccccc!

Enunciado: Minute 90 of the game... Lopera approaches the ball to make a direct free kick 40 meters from the goal, takes two steps back and kiiicks. The ball takes off at an elevation of 20°... and GOOOOALLL!!! GOOOOOOOALLL!!!! The ball goes in through t ...

Angular quantities in tractor tires

Enunciado: A farmer has a yellow tractor whose front tires have a radius of 40 cm and the rear tires have a radius of 1.20 m. When the front wheels have completed 10 revolutions, how many revolutions will the rear tires have completed? Español Idioma Ing ...

Converting degrees to radians

Enunciado: Converts the following angles from radians to degrees or degrees to radians: a) 230º b) 1.34 rad Español Idioma Inglés Solución: a) θ r a d = 230 · π 180 → θ r a d = 4. 01 r a d b) θ g r a d o s = 1. 34 · 180 π → θ g r a d o s ...

Position vector in u.c.m.

Enunciado: A body describes a uniform circular motion with a 3 m radius. What is its position vector when its angle is 30º? Español Idioma Inglés Solución: Data R = 3 m φ = 30º = 1/6 π rad Resolution Knowing that the position vector of a body in a unifo ...

Radius in a u.c.m.

Enunciado: An electric car to scale moves in a circular track describing a uniform circular motion. If the center of the track is placed in the position (0, 0) m determine: a) The position vector when it is in position (3, 4) m. b) The radius of the circ ...