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 helicopter blade spins at exactly 110 revolutions per minute. Its tip is 9.5 m from the center of rotation. A. What is the average speed of the blade tip in the helicopter's frame of reference, in meters per second?  B. What is the average velocity over one revolution, in meters per second?

1. An object is at x = -10 m moving at a constant velocity of 10 m/s. What would be the position of the body after 10 seconds? 2. Two siblings, Kaeya and Diluc, decided to take a walk around Mondstadt, following its perimeter guarded by walls. For those who haven't seen Mondstadt, you can imagine it as a city of walls with beautiful German architecture. Let's roughly assume that the walls are encircling it in a perfect circle. Both Kaeya and Diluc started at the front of the huge city gate (marked at 0 degrees), and they walk separately, away from each other. Assuming that radius of the circular city of Mondstadt to be 500 m, and the constant walking speed of both siblings to be 0.5 m/s, how long until the siblings achieve the greatest separation distance between them? 3. Please refer to the following vectors:A = 6i + 2j - 3kB = 3i - j - 2kC = -i + j - 4kD = j - 3kE = -i + 2kF = -5kG = 2iH = -3jI = -4i +4j Find the projection of vector C on vector D. 4. You throw a glob of putty…

Two children who are bored while waiting for their flight at the airport decide to race from one end of the 20-m-long moving sidewalk to the other and back.  Phillippe runs on the sidewalk at 2.0 m/s (relative to the sidewalk). Renee runs on the floor at 2.0 m/s. The sidewalk moves at 1.5 m/s relative to the  floor. Both make the turn instantly with no loss of speed. a. Who wins the race? b. By how much time does the winner win?

1. 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center of rotation. (a) Calculate the average speed of the blade tip in the helicopter's frame of reference. (b) What is its average velocity over one revolution? 2. Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain. 3. A commuter backs her car out of her garage with an acceleration of (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration

A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around a level track with two nearly straight sections and two nearly semicircular sections, as shown in the aerial view of Figure CQ7.12. (a) What are the directions of his velocity at points A, B, and C? For each point, choose one: north, south, east, west, or nonexistent, (b) What are the directions of his acceleration at points A, B, and C? Figure CQ7.12

Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?

Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so lets use the name vroomosity for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = vi + at gives its velocity v as a function of time. Similarly, for a particles linear motion with constant vroomosity k, the equation v = vi + kx gives the velocity as a function of the position x if the particles speed is vi at x = 0. (a) Find the law describing the total force acting on this object of mass m. Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.

Problems 74 and 75 are paired. 74. N A classroom clock has a small magnifying glass embedded near the end of the minute hand. The magnifying glass may be modeled as a particle. Class begins at 7:55 and ends at 8:50. The length of the minute hand is 0.300 m. a. Find the average velocity of the magnifying glass at the end of the minute hand using the coordinate system shown in Figure P3.74. Give your answer in component form. b. Find the magnitude and direction of the average velocity. c. Find the average speed and in the CHECK and THINK step, compare to the average velocity.

A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50 m/s2, (a) What is the acceleration of the bolt relative to the train car? (b) What is the acceleration of the bolt relative to the Earth? (c) Describe the trajectory of the bolt as seen by an observer fixed on the Earth.