A rock is thrown from the edge of the top of a 86 m tall building at some unknown angle above the horizontal. The rock strikes the ground a horizontal distance of 60 m from the base of the building 6 s after being thrown. Assume that the ground is level and that the side of the building is vertical. Determine the speed with which the rock was thrown.

A van has lost its brake and falls into a 25.0-meter-deep ravine and lands at a distance of 30.0 m from the edge of the ravine. Determine the initial horizontal velocity of the truck.

Macy kicks a ball towards a goal gate at a distance of 14.5m from the gate. The height of the top bar of a soccer goal gate is 2.52m. After the kick, the initial velocity of the ball is 19.5 m/s at 68.0° from the vertical. Does the ball travel into the gate (under the top bar)? Give a detailed calculation to support your answer. 68.0° ball Goal gate 2.52m 14.5 m ground

A ball is thrown downward from the top of the building with a speed of 18.0 m/s at an angle of 30.0° to the horizontal. a) What are the horizontal and vertical components of the velocity the instant the ball is thrown? b) What are the horizontal and vertical components of the velocity 1.00 s after being thrown?

a) If Billy-Joe kicks a stone with a horizontal velocity of 3.50 m/s, and it lands in the water a horizontal distance of 5.40 m from where Billy-Joe is standing, what is the height of the bridge? b) If the stone had been kicked harder, how would this affect the time it would take to fall?

The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same initial speed at all angles. How high does he throw the ball when he throws it straight upward?

You want to know the height of a cliff so you throw a rock off the edge with an initial speed of 24.7 m/s inclined at an angle 31.2° above the horizontal. You have a friend that records that it takes 4.6 s for the rock to hit the bottom of the canyon after it is thrown. For the following questions, call up the positive y direction and make the positive x direction horizontal and towards the direction the rock is thrown. If you ignore air resistance, what is the y component of the velocity of the rock right before it hits the ground?

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.)

A rock was thrown horizontally from a 100.0 m high cliff. It strikes the ground 90.0 m from the base of the cliff. a) At what speed was it thrown? b) How long did it take to hit the ground. c) Neglecting wind resistance, which component of velocity is affected by gravity VERTICAL or HORIZONTAL? d) Sketch the trajectory of the rock as it falls to the ground and include the velocity vector at the beginning, midway down, and just before striking the ground. e) After you determine the total time in the air, you can then determine the final vertical velocity vector combined with the horizontal velocity determined earlier. Use these vectors to determine the resultant velocity vector just before landing. Recall using Pythagorean theorem to find the magnitude of the velocity vector and trigonometry for the angle below the horizontal that the resultant vector strikes at.

A football is kicked with a speed of 30.0 m/s. Determine the two angles above the horizontal the football could be kicked to just clear the field goal post 7. Assume that the football hits the cross bar and bounces over (football goes through the point x = 60.0 m and y = 3.05 m, assuming the football is kicked from the origin. %3D %3D