Projectiles The red ball is given a velocity U at an angle  to the horizontal U  The time taken for the ball to move up and down is the same time as.

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Presentation transcript:

Projectiles

The red ball is given a velocity U at an angle  to the horizontal U  The time taken for the ball to move up and down is the same time as it takes to go from A to B A B A B Looking from above you see Looking from the side you see

The red ball is given a velocity U at an angle  to the horizontal U  A B A B The motion horizontally is not accelerated, hence moves at a constant velocity, given by: The motion vertically is accelerated downwards, the initial velocity being: U Cos  U Sin  upwards The components of the velocity U are: U Cos  Horizontally U Sin  Vertically

Questions: Q.2How long will it take a ball kicked from a cliff at an initial velocity of 8 m/s at an angle 30° above the horizontal to reach the ground 150m below? Q.1A dog jumps off a pier at an angle of 25 o with an initial velocity of 3.2 m/s. How far from the pier will the dog hit the water (Assume the level of water is the same as the pier)

Q.3An egg is thrown horizontally off a roof which is 60 metres high, with an initial velocity of 6.5 m/s. How long does it take to hit the ground? How far does it go in the horizontal direction? Q.4A ball rolls off the edge of a table 1.44m above the floor and strikes the floor at a point 2m horizontally from the edge of the table. What is the time the ball was in the air? What is the initial velocity of the ball? What is the velocity of the ball as it hits the floor?