Physics Question Practice - CH3 Two-Dimensional Motion and Vectors

good luck!

An archaeologist climbs the Great Pyramid in Giza, Egypt. The pyramid’s height is 136 m, and its width is 2.30 × 102 m. What is the magnitude and the direction of the displacement of the archaeologist after she has climbed from the bottom of the pyramid to the top?

178m; 49.8 degrees

The straight stretch of Interstate Highway 5 from Mettler, California, to a point near Buttonwillow, California, is 53.0 km long and makes an angle of 48.7° north of west. What are the northern and western components of this highway segment?

35.0 km west; 39.8 km north

A hiker walks 27.0 km from her base camp at 35° south of east. The next day, she walks 41.0 km in a direction 65° north of east and discovers a forest ranger’s tower. Find the magnitude and direction of her resultant displacement between the base camp and the tower.

45 km; 29 degrees north of east

TheRoyalGorgeBridgeinColoradorises 321 m above the Arkansas River. Suppose you kick a rock horizontally off the bridge. The magnitude of the rock’s horizontal displacement is 45.0 m. Find the speed at which the rock was kicked.

5.56 m/s

The narrowest strait on Earth is Seil Sound in Scotland, which lies between the mainland and the island of Seil. The strait is only about 6.0 m wide. Suppose an athlete wanting to jump “over the sea” leaps at an angle of 35° with respect to the horizontal. What is the minimum initial speed that would allow the athlete to clear the gap? Neglect air resistance.

vi = 7.9m/s

The world’s fastest current is in Slingsby Channel, Canada, where the speed of the water reaches 30.0 km/h. Suppose a motorboat crosses the channel perpendicular to the bank at a speed of 18.0 km/h relative to the bank. Find the velocity of the motorboat relative to the water.

Vmw = 35.0 km/h

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 20 m/s. The cliff is 50 m above the water’s surface, as shown at right. How long does it take for the stone to fall to the water? With what speed does it strike the water? 

3s; 37m/s