Randy an Deborah are standing at one end of a basketball court, each with a basketball. Randy rolls his basketball so that it moves at a constant speed of 5.0 m/s toward the other end of the court. Deborah waits 2.0 s before she rolls her basketball. With what speed must Deborah's ball move if it is to arrive at the other end of the court at the same time as Randy's basketball? The length of the court is 26 m.

A river flows due east. A boat travels with constant speed due north across the river from point A to point B. The speed of the boat relative to the water is 5 m/s. The river is 21m wide and it takes 7s to travel from A to B. What is the speed of the current in the river?

Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.

A Ferris wheel with radius 8.5 m initially rotates clockwise at a constant rate by completing 1.25 rev in 40.00 s.  It then begins to decelerate at a rate of 0.40 rad/s2 with its only passenger at the top of the wheel.  Find the direction of the total acceleration vector.  Express your answer as a positive number with respect to the positive x-axis.  Choose up and to the right as your positive direction.

A small child is learning to ride a bike for the first time. Her dad decides it would be a good idea to start her on a small hill. The hill is inclined at 3.00° to the horizontal. The child starts partway down the hill, 9.00 m away from her dad, who stays at the top. She starts to wobble, so her dad sprints toward her from rest with an acceleration of 1.40 m/s2. How far has the child gone before her parent catches her?

15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s     8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors  A and  B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest  units smallest  units

The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 239 m in length, and the particle moves from A to C in 33.0 s. Point B on the path is 35.0° below the x-axis. O 35.0⁰ magnitude direction C B x (a) What is the speed of the object (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) m/s² ° counterclockwise from the +x-axis

Alice, Bruce, Chad, and Dave are enjoying a trip to the amusement park. Alice rides the Ferris Wheel (47.75 meters in diameter), but Bruce decides simply to watch. Chad and Dave are riding the monorail that passes along a straight track just below the Ferris Wheel's bottom. The monorail moves at a constant speed of 9 m/s. The first time that Alice passes Bruce (who is standing right next to Alice but on the ground), Alice and Bruce look at their watches, and Chad (who happens to be passing under Alice's seat on the Ferris Wheel at that instant) looks at the clock on her seat's fancy electronic display. This is event A. When Alice passes Bruce the next time (call this event B), Alice and Bruce again look at their watches, and Dave, who happens to be passing under Alice's position at just that instant, looks at his display (which we assume is synchronized with Chad's display). Everyone determines the time interval that they measure between these momentous events (Chad and Dave by…

A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 to t2 = 11.0 s, the rhino's average velocity has x-component - 4.20 m/s and y-component 5.10 m/s.  a. At time t2 = 11.0 s what is the x-coordinate of the rhino? b. At time t2 = 11.0 s what is the y-coordinate of the rhino? c. How far is the rhino from the origin?