A cannon fires a shell at 200 m/s 36 degrees above the horizontal. How high did the shell reach in the sky? How high was the shell ¾ the way to where it hits (assuming it was fired and hit at the same level)?

A ball is kicked from ground level towards a high, vertical wall. It starts off at an angle of 32.7∘ with a speed of 11.1 m/s. If the wall is 5.2 m away from the place where the ball is kicked, how high above the ground (in meters) will the ball hit the wall?

A hunter spots a duck flying a given distance, h, above the ground (in meters) and shoots at it with his shotgun.  The buckshot leaves the shotgun at an angle equal to 57.7 degrees from the horizontal with a velocity of 105 m/s.  The duck is flying at a speed of 30 m/s in a horizontal direction toward the hunter.  If the hunter shot when the duck was 200 meters away from the hunter and hit the duck, how high was the duck flying?

3. A football is kicked at 37.0° to the horizontal at 20.0 m/s from the player's hand at 1.00 m from the ground. How far did the football travel before hitting the ground? 4. A long-jumper leaves the ground at an angle of 20° above the horizontal and at a speed of 11.0 m/s. (a) How long is he in the air? (b) How far docs he jump in the horizontal direction? (c) What is his maximum height?

A cannonball is aimed 36.9° above the horizontal and is fired with an initial speed of 180 m/s at ground level.  How far away from the cannon will the cannonball hit the ground?

use proper vector notations.

An athlete in a high jump event is running at 5.3 m/s directly toward the high-jump bar when he jumps into the air to jump over the bar. He maintains his horizontal velocity. (Hint : The athlete is now on a projectile trajectory to reach the high-jump bar) (a)What vertical velocity (in m/s) does he need in order to just rise 65 centimeters above the ground? (b)How far (in m) from the bar (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the bar?

A tennis player hits a ball 2.6  m above the ground. The ball leaves his racquet with a speed of 23.5m/s at an angle of 5.7 degrees above the horizontal. The horizontal distance to the net is 7m. and the net is 1.1 high. By how much does the ball clear the net?

Serving at a speed of 179 km/h, a tennis player hits the ball at a height of 3.0 m and an angle ? below the horizontal. The service line is 11.9 m from the net, which is 0.91 m high. What is the angle ? such that the ball just crosses the net?

Questions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.