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Calculate its horizontal range, its initial vertical component of velocity and its initial angle of projection. 8. A tennis ball thrown at a velocity of 25.0 m/s at 53.1° lands exactly 3.00s later on the top of a building. Calculate the horizontal distance it traveled and the height of the building. 9.
Ask students to guess what the motion of a projectile might depend on? Is the initial velocity important? Is the angle important? How will these things affect its height and the distance it covers? Introduce the concept of air resistance. Review kinematic equations.
The initial vertical velocity v yo can be obtained from the Pythagorean Theorem or by taking apart v r, the initial velocity (resultant), into its horizontal and vertical components. G.U.E.S.S. Method. Givens v r = 50 m/s (the diagonal initial velocity), = 40 (the launch angle) Uknown v yo (the vertical component of the velocity)
Range: the horizontal distance travelled by the projectile. How to find the time of flight, maximum height and range. Remember: the only force acting on the projectile, after it has been released, is gravity. There are three possible scenarios for projectile motion: Vertical projection.
Ideal Projectile Motion. A soccer ball is kicked across a field at an angle of 30° with an initial speed of 16 m/s. Write a set of parametric equations for the motion of the soccer ball. A golf ball is struck across a flat fairway at an angle of 45° with an initial speed of 136 ft/s.
A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35° with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second. [Neglect air resistance.] 22. What is the horizontal component of the ball’s initial velocity? 23.
The time for projectile motion is determined completely by the vertical motion. Thus, any projectile that has an initial vertical velocity of 21.2 m/s and lands 10.0 m above its starting altitude spends 3.79 s in the air. (b) We can find the final horizontal and vertical velocities v x v x and v y v y with the use of the result from (a).
