A student walks 2.0 km south and then 5.0 km east. What is their total displacement?

A car drives 25 km west and then 13 km south. What angle does the resultant make with respect to west?

An arrow is launched up at 35 m/s at 15 degrees above horizontal. What is the vertical component of the speed?

A marble rolls off the edge of a table that is 1.6 m off of the floor. The marble is rolling at 2.0 m/s. How far from the base of the table will the marble land?

A motorcycle going 45 m/s leaves a 45 degree inclined ramp. How far away should the landing ramp be placed in order for the motorcycle to land right at the edge of the ramp?

A basketball is thrown up at 60.0 degrees with respect to the horizontal at 6.0 m/s, 1.0 m below the height of the hoop. How far away from the hoop would such a shot be successful?

A car is going 25 m/s around a corner that has a radius of 1.0x10² m, what is the centripetal acceleration of the car?

A 50.0 kg person is riding on a roller coaster that is moving at 20.0 m/s through the bottom of a 25.0 m radius corner. What is the total normal force of the seat on the person? Don't forget to factor in their weight!

A 50. kg person is riding a roller coaster through the top of a 30. m curve. At what speed must the person be going so that they feel weightless through the top of the curve?

A track is being designed so that a car can go at 50. m/s around a 100. m radius curve without needing to turn the wheels. At what angle must the track be banked with respect to the horizontal so the normal force can counter both the weight of a car and the centripetal force?(The numbers in front of the decimal point are significant.)

The term for mile (1600 meters) comes from the idea that a mile could be done in 1000 steps. A stride is one step. What would the stride length (in meters) of a roman soldier have needed to be?

A marble lands 2.1 m away from a 1.8 m tall table. How fast did it roll off of the table?

A rubber stopper went around a 1.5 m radius circle 35 times in 30 seconds. What is the tangential speed of the rubber stopper?