he ground at an angle of 42° with an initial speed of 200 m/s. What is the velocity vector of the projectile after 11s? Approximat

A projectile's launch speed is four times its speed at maximum height. Find the launch angle 0.

1. The distance between home plate and the pitcher's mound in baseball is 60.5 ft. In MLB, baseballs are. pitched at about 90mph. Assume the ball is thrown perfectly horizontally, at 0°. How far in feet will the ball drop during its transit to home plate? Use g = 32 ft/s². (Note: this is why pitcher's mounds are raised.) 2. A pebble is tossed into the air at an angle of 62° above the horizontal, with an initial speed of 4.8 m/s. The pebble is 1.6m above the ground when it is released by the thrower's hand. a) How long will the pebble remain airborne? b) What maximum height above the ground will the pebble achieve?

A lizard kicks a ball with an initial velocity of 10 m/s at an angle of 35º with the horizontal. What is the maximum height of the ball?

A projectile is launched from ground level at a velocity of 28 m/s and an initial angle of 37 degrees. What is the projectile's velocity the instant before it hits the ground? Include a drawing and all steps. Use the projectile motion equations.

A projectile's launch speed is 6.30 times its speed at maximum height. Find the launch angle θ0.

Goro Shigeno (Pitcher) and Joe Gibson Jr. (hitter) went head to head in the Major League Baseball (MLB) series. For the last pitch, Gibson hits the baseball with 82 ft/s at angle of 75°. When the ball is directly above Shigeno he begins to run under it. Determine the (a) the total distance that the pitcher runs and (b) the constant speed at which pitcher must run in order to make the catch at the same elevation at which the ball was hit. (Note: the distance between the pitcher and hitter is 70 ft.)

Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.

A cannonball is launched diagonally with an initial horizontal velocity of 50.0m/s and an initial vertical velocity of 30.0Om/s. Label the hypotenuse, opposite side and adjacent side, and determine all unknowns. initial velocity: m/s initial horizontal velocity: m/s initial vertical velocity: m/s At what angle (0) was the cannonball launched?

An athlete in a long jump trial leaves the ground at an 80o angle and covers a horizontal distance of 8.7 m. The speed with which he can jump remains constant. What should he do to increase the horizontal distance of his jump? Explain why this would work.