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Q1. A football player kicks a ball on the ground giving it a velocity with a horizontal component of 10 m/s and a vertical component
Q1. A football player kicks a ball on the ground giving it a velocity with a horizontal component of 10 m/s and a vertical component of 20 m/s (9 = 9.8 m/sz). Figure 1: Path taken by ball after being kicked. (a) How long does it take for the ball to reach the highest point in its trajectory? (b) What is the maximum height that it reaches? (c) How long does it take for it to hit the ground? (d) At What distance from its original position, does the ball hit the ground? Q2. A trolley is stationary at the top of a ramp that is inclined at an angle of 45 below the horizontal. When the trolley is released it goes down the ramp, across a at (horizontal) section, and up a second ramp inclined at an angle of 30 above the horizontal (as shown in gure 2). The initial height of the trolley is 10.0 m (g = 9.8 m/s2). Ignore friction for all parts of the question. IOIn 45 30 Figure 2: A trolley at the top of a ramp. (a) Draw two diagrams - one showing the forces acting on the trolley when it is going down the first ramp, and one when it is going up the second ramp. (b) As the trolley goes down the first ramp, what are the components of its acceleration that are parallel and perperdicular to the first ramp? (c) What distance along the first ramp does the trolley travel from the top to the bottom of the ramp? (d) What is the speed of the trolley when it leaves the first ramp and enters the flat section? (e) As the trolley goes up the second ramp, what are the components of its acceleration that are parallel and perperdicular to the second ramp? (f) What distance (from the end of the flat section) does the trolley travel along the second ramp (note that distance, not height is asked for)
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