A player kicks the ball at an angle of 30oto the vertical axis at an initial velocity of 120m/s. A second player standing at 300 meters from the first direction of the kick starts running to meet the ball at the time it is kicked.Determine (i) Time of flight of the ball (T). (2)(ii) The range, R, of the ball. (2)(iii) Find the speed and direction of the ball 2 seconds before it reaches the ground. (4)(iv) The remaining time and distance covered by second player hence or otherwise, find the speed of the second player if he is to catch the ball before it reaches the ground. (4)QUESTION 2: WORK, ENERGY AND POWER (10)2.1 State the law of conservation of momentum. (2) In a system of colliding objects, the total momentum is conserved, provided there is no net external force acting on the system? 2.2 Show that the rate of energy transfer of a particle is given by;  f x v (4)2.3 Object A of mass 20 kg moving with a velocity of 2 m/s makes a head-on collisionwith object B of mass 10 kg moving with a velocity of 2 m/s in the opposite direction. If A and B stick together after collision, calculate their common velocity v in the direction of A. (4)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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A player kicks the ball at an angle of 30o
to the vertical axis at an initial velocity of 120
m/s. A second player standing at 300 meters from the first direction of the kick starts 
running to meet the ball at the time it is kicked.
Determine 
(i) Time of flight of the ball (T). (2)
(ii) The range, R, of the ball. (2)
(iii) Find the speed and direction of the ball 2 seconds before it reaches the ground.
 (4)
(iv) The remaining time and distance covered by second player hence or otherwise, 
find the speed of the second player if he is to catch the ball before it reaches the 
ground. (4)

QUESTION 2: WORK, ENERGY AND POWER (10)
2.1 State the law of conservation of momentum. (2) 
In a system of colliding objects, the total momentum is conserved, provided there
 is no net external force acting on the system? 
2.2 Show that the rate of energy transfer of a particle is given by; 
 f x v (4)
2.3 Object A of mass 20 kg moving with a velocity of 2 m/s makes a head-on collision
with object B of mass 10 kg moving with a velocity of 2 m/s in the opposite direction. 
If A and B stick together after collision, calculate their common velocity v in the 
direction of A. (4)

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