A boat, whose speed in still water is 2.5 m/s, must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts. To do so, the pilot must head the boat at a 45.0° upstream angle. What is the speed of the river's ?current

Macy kicks a ball towards a goal gate at a distance of 14.5m from the gate. The height of the top bar of a soccer goal gate is 2.52m. After the kick, the initial velocity of the ball is 19.5 m/s at 68.0° from the vertical. Does the ball travel into the gate (under the top bar)? Give a detailed calculation to support your answer. 68.0° ball Goal gate 2.52m 14.5 m ground

A river is 1 km wide and flows at a velocity of 1.5 km/h. You want to cross straight to the other side of the river by swimming at a velocity of 2.5 km/h.In what direction you should swim? What time will take you to cross the river?

A gun fires a bullet with an initial velocity of 481.7 m/s at a small target 55.82 m away. a) At what height, above the center of the target, must the gun be aimed so that the bullet hits the center of the target?

A boat traveling across a river has a resultant velocity of 10 km/h and travels 34 degrees with respect to the shore.  A) What is the boats velocity in m/s?     B) What is the velocity of the river in m/s?

A swimmer with a still water velocity of  8.00km/hr heads South across a stream that flows directly East with a velocity of 4.00km/hr. a)  What will be the resultant velocity of the swimmer if he does not fight the current ?  b)  If the stream is 500.m wide,  how long will it take the swimmer to reach the opposite side if he does not fight the current ? c)  How far downstream will the swimmer be carried if he does not fight the current ?  d)  What must be the swimmers heading if he is to keep a path directly South across the stream ?   e)  How long will it take the swimmer to cross the stream if he keeps his heading ?

A fireman d=53.0 m away from burnjng building directs a stream of water from a ground-level fire hose at an angle 29 degrees . If the speed of the stream as it leaves the hose is v_{i} = 40.0m / s at what height will the stream of water strike the building

A fire hose ejects a stream of water at an angle of 36.1° above the horizontal. The water leaves the nozzle with a speed of 24.0 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire? Number i Units +

An aircraft has to fly between two cities, one of which is 600.0 km north of the other. The pilot starts from the southern city and encounters a steady 100.0 km/h wind that blows from the northeast. The plane has a cruising speed of 284.0 km/h in still air. In what direction (relative to east) must the pilot head her plane? Enter the angle in degrees where positive indicates north of east and negative indicates south of east How long does the flight take? h