Crossing the River I. A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) What is your velocity (magnitude and direction) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank?
Crossing the River I. A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) What is your velocity (magnitude and direction) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank?
Crossing the River I. A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) What is your velocity (magnitude and direction) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank?
A river flows due south with a speed of 1.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 500 mm wide.
A)
What is the magnitude of your velocity relative to the earth?
B)
What is the direction of your velocity relative to the earth?
C)
How much time is required to cross the river?
D)
How far south of your starting point will you reach the opposite bank?
An airplane takes off and flies upward at an angle of 21° with a constant speed of 262 m/s. While the plane is flying upward, a piece of the engine falls off when the plane reaches a height of 860 m.
a) How long does it take the piece of the engine to reach the ground? Give your answer in seconds.
b) What is the horizontal distance covered by the piece of the engine before it lands? Give your answer in meters.
Several people stand on a bridge over a river. The bridge is not level, so the people are all different heights above the river. Each person throws a stone to the river.
a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). How long does it take her stone to hit the water, in seconds?
b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the range of his stone, in meters?
c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the speed of this stone (in m/s) just before it strikes the river?
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