Question

General Physics
1-D Particle Kinematics
Problems

1) An 18-year-old runner can complete a 10.0-km course with an average speed of 4.87 m/s. A 50-year-old runner can cover the same distance with an average speed of 3.46 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?

2) A bicyclist makes a trip that consists of three parts, each in the same direction along a straight road. During the first part, she rides for 23.0 minutes at an average speed of 32.0 ft/s. During the second part, she rides for 36.0 minutes at an average speed of 17.0 ft/s. Finally, during the third part, she rides for 9.10 minutes at an average speed of 48.0 ft/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is the average speed of the bicyclist for the trip?

3) A high-performance car accelerates from zero to 26.8 m/s (60 mi/h) in 3.21 s. What is the car's acceleration, in m/s2?

4) In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 29 ft/s in 1.4 s. Assuming that the player accelerates uniformly, what is the distance he runs?

5) The left ventricle of the heart accelerates blood from rest to a velocity of +28 cm/s. (a) If the displacement of the blood during the acceleration is +1.4 cm, what is its acceleration (in cm/s2 )? (b) How much time does blood take to reach its final velocity?

6) From her bedroom window a girl drops a water-filled balloon to the ground, 16.1 ft below. If the balloon is released from rest, how long is it in the air?

7) A wrecking ball is hanging at rest from a crane when suddenly the cable breaks. The time it takes for the ball to fall halfway to the ground is 3.9 s. What is the time it takes for the ball to fall from rest all the way to the ground?

8) A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (with appropriate sign) of the bus during (a) segment A, (b) segment B, (c) segment C, and (d) the entire trip? Express your answers in km/h.
1-D Particle Kinematics Problems

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