In reaching her destination, a backpacker walks with an average velocity of 1.17 m/s, due west. This average velocity results, because she hikes for 6.57 km with an average velocity of 2.53 m/s, due west, turns around, and hikes with an average velocity of 0.425 m/s, due east. How far east did she walk?

An airplane with a still air velocity of 250.km/hr flies directly West to a destination that is 400.km away.  How long will the trip take if it  encounters a constant wind of 40.0km/hr from the West during the entire trip ?

Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If the speed of the boat is 1.85 m/s, at what angle should the boat head so that it travels northward directly across the river? 40.4 degrees north of east 32.9 degrees west of north 40.4 degrees east of north 32.9 degrees north of west

Starting from its nest, an eagle flies at constant speed for 3.0 min due east, then 4.0 min due north. From there the eagle flies directly to its nest at the same speed. How long is the eagle in the air?

A man walks on a straight road from his home to a market 5 km away with a speed of 10 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. What is the magnitude of average velocity?

If a rock is thrown with an initial velocity of 5.4 m/s in the y-direction and 8.2 m/s in the x-direction. At what angle was the rock thrown?

A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.

A pilot flies in a straight path for 1 hour 45 minutes. She then makes a course correction, heading 30 degrees to the right of her original course, and flies 2 hours 30 minutes in the new direction.  If she maintains a constant speed of 340 mi/h, how far is she from her starting position?  Give your answer to the nearest mile.

A man wishes to cross due west on a river which is flowing due north at the rate of 3mph. If he can row 12mph in still water, what direction should he take to cross the river?

A cannonball is shot (from ground level) with an initial horizontal velocity of 39 m/s and an initial vertical velocity of 30 m/s. How far from where it was shot will the cannonball land?