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# HW2 - A particle leaves the origin with an initial velocity...

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1) A particle leaves the origin with an initial velocity v = 2.16 i , in m/s . It experiences a constant acceleration a = -1.00 i -0.50 j , in m/s 2 . What is the velocity of the particle when it reaches its maximum x coordinate? i -component of velocity? 0.00 m/s j -component of velocity? When does it reach its maximum x coordinate? Where is the particle at this time? i -component of position? j -component of position? 2) You throw a ball from a cliff with an initial velocity of 20.0 m/s at an angle of 21.0° below the horizontal. Find its horizontal displacement 2.50 s later. Find its vertical displacement 2.50 s later.

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3) A dart is thrown horizontally toward the bull's-eye, point P on the dart board in the figure, with an initial speed of 11.3 m/s . It hits at point Q on the rim, vertically below P 0.20 s later. What is the distance PQ ? How far away from the dart board did the dart thrower stand?
4) The range of a projectile depends not only on v 0 and θ 0 but also on the value g of the free-fall acceleration, which varies from place to place. In 1936, Jesse Owens established a world's running broad

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