![]() The goal post crossbar is 3.44 m above the ground. The kick begins 40.0 m in front of the goal posts. (moderate) A kicker on the football team gives the ball an initial velocity of 22.0 m/s. The other projectile follows the red trajectory. The projectile fired at the lower angle bounces (upon hitting the ground) losing some of its energy while following the black trajectories. (OPTIONAL hard) Two objects are launched from the same position, with the same initial speeds, but at different angles. Find the initial velocity, the maximum height and the overall velocity at maximum height.Ĩ. 1.6 seconds after release, the rock reaches its maximum height. (moderate) A rock is tossed at a 42°angle at an initial height of 1.2 m from the ground. If the net is 12.0 m from the ball (in the x-direction), and the net height is 0.90 m, by how much does the ball clear the net?ħ. The ball is 2.37 m above the ground when struck by the racquet. (moderate) A tennis player hits a ball with an initial speed of 23.6 m/s perfectly horizontally. Find the initial speed and the maximum height.Ħ. It lands on the ground 9400 m (in the x-direction) from the base of the launch site. (moderate) A projectile is launched at a 35° angle from a height of 3300 m off the ground. Assume that the ball is hit 1.0 m above the ground initially. Find.Ĭ) The velocity components and the speed of the ball when it reaches the wall.ĥ. (moderate) A home run is hit in such a way as the baseball just clears a wall (21.0 m tall) located 130.0 m from home plate. Additionally, if one assumes that the initial speed remained the same for all firing angles, what is the maximum range for the cannonball?Ĥ. Determine the time it takes for the cannonball to hit the ground and the distance from the base of the wall where the projectile lands. (moderate) A cannonball (placed on a wall 20 m above the ground) is shot at 20° firing angle with a initial speed of 17 m/s. Projectile D: Firing angle = 60°, initial speed = 40 m/sģ. Projectile C: Firing angle = 15°, initial speed = 40 m/s Projectile B: Firing angle = 45°, initial speed = 40 m/s Projectile A: Firing angle = 30°, initial speed = 40 m/s ![]() (easy) Rank the range of the following projectiles: Does this athlete have a greater overall speed at takeoff or on landing? Explain your response.Ģ. Compare and contrast the four trajectories shown.ī) If the water spouts in the picture below shot the water at a slightly higher angle, would the landing place be closer to or further from the spouts? Assume Δy = 0.Ĭ) Analyze the snowboarder from the 2018 winter Olympics in PyeongChang. (easy) a) Study the image below from the 2016 Rio Olympics. ![]()
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