1. (a) A person first walks at a speed of 2.0 m/s, then at 6.0 m/s...

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1. (a) A person first walks at a speed of 2.0 m/s, then at 6.0 m/s for an equal distance. Find the average velocity. (4 pts) (b) A rock is dropped (from rest) from the top of a 75-m-tall building. How far above the ground is the rock 1.5 s before it reaches the ground? (6 pts) 2. A particle is thrown with initial speed up from the edge of a cliff at angle with the horizontal and it hits ground after time t. (a) How high was the cliff? (b) How far from its base did the particle hit the ground? (2.5 pts) (2.5 pts) (c) At the instant just before the particle hits point the ground, find the horizontal and the vertical components of its velocity, and also find the magnitude of velocity of the particle. (3 pts) (Please note: your answer should be in terms of given information i.e. vo, 0, tx) 3. Two blocks having masses m and m2 are placed on a frictionless surafce. Two forces F and F are applied as shown in the figure and blocks are accelerating along positive x-direction. Using the information given: (a) Draw free body diagram for both the blocks, and also for the composite system (of mass m + m2). (b) Find acceleration of the blocks along horizontal direction. (4 pts) (4 pts) (c) Find the magnitude and direction of the force exerted by the right block on the left block. (4 pts) F1 m1 m2 -F2 4. A block slides from rest on an inclined surface which makes an angle of 60 with the horizontal. The coefficient of kinetic friction between the block and the surface is 0.15. Find the speed of the block when it has moved 15m down the inclined surface. (10 pts) 1. (a) A person first walks at a speed of 2.0 m/s, then at 6.0 m/s for an equal distance. Find the average velocity. (4 pts) (b) A rock is dropped (from rest) from the top of a 75-m-tall building. How far above the ground is the rock 1.5 s before it reaches the ground? (6 pts) 2. A particle is thrown with initial speed up from the edge of a cliff at angle with the horizontal and it hits ground after time t. (a) How high was the cliff? (b) How far from its base did the particle hit the ground? (2.5 pts) (2.5 pts) (c) At the instant just before the particle hits point the ground, find the horizontal and the vertical components of its velocity, and also find the magnitude of velocity of the particle. (3 pts) (Please note: your answer should be in terms of given information i.e. vo, 0, tx) 3. Two blocks having masses m and m2 are placed on a frictionless surafce. Two forces F and F are applied as shown in the figure and blocks are accelerating along positive x-direction. Using the information given: (a) Draw free body diagram for both the blocks, and also for the composite system (of mass m + m2). (b) Find acceleration of the blocks along horizontal direction. (4 pts) (4 pts) (c) Find the magnitude and direction of the force exerted by the right block on the left block. (4 pts) F1 m1 m2 -F2 4. A block slides from rest on an inclined surface which makes an angle of 60 with the horizontal. The coefficient of kinetic friction between the block and the surface is 0.15. Find the speed of the block when it has moved 15m down the inclined surface. (10 pts)