What speed does the ball hit the ground? (b) For how long does the ball remain i

Question

What speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c)What maximum height is attained by the ball? A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) What is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground? (a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32 degree ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance.) An archer shoots an arrow at a 75.0 m distant target; the bull's-eye of the target is at same height as the release height the earth (D) Discuss whether your answers are consistent with your expectations for the effect of the wind on the plane's path. (a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s? (b) What would its speed be relative to the Earth? (a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20 degree south of east (as in Exercise 3.58) Its direction of motion relative to the Earth is 45.0 degree south of west, while its direction of travel relative to the air is 5.00 degree south of west. What is the airplane's speed relative to the air mass? (b) What is the airplane's speed relative to the Earth? A sandal is dropped from the top of a 15.0-m-high mast on a ship moving at 1.75 m/s due south. Calculate the velocity of the sandal when it hits the deck of the ship: (a) relative to the ship and (b) relative to a stationary observer on Calculate the deceleration of a snow boarder going up a 5.0 degree , slope assuming the coefficient of friction for waxed wood on wet snow. The result of Exercise 5.9 may be useful, but be careful to consider the fact that the snow boarder is going uphill. Explicitly show how you follow the steps in What is the period of rotation of Earth in seconds? (b) What is the angular velocity of Earth? (c) Given that Earth has a radius of 6.4x 10^6 m at its equator, what is the linear velocity at Earth's surface?

Explanation / Answer

4.

a)

Period of rotation of earth

T=24 hours

1 hour =3600 sec

T=24*3600

T=86400 s

b)

angular velocity of earth

W=2pi/T =2pi/86400

W=7.27*10-5 rad/s

c)

Linear velocity

V=WR =(7.27*10-5)(6.4*106)

V=465.4 m/s

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