8. The Sears Tower in Chicago is 443 m tall. Supposed a book is dropped the top of the building. What would be the book’s velocity at a point 221 m ab...
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Kinematics Problem Set 1 Motion in One Dimension Physics Honors Mack 1. Jupiter, the largest planet in the solar system, has an equatorial radius of about 7.1 x 104 km. It’s period of rotation around it’s own axis is about 9 hours and 50 minutes. a) Calculate the average speed (in m/s) of an equatorial point during one period of Jupiter’s rotation. b) Is the average velocity different than the average speed for this case? 2. The highest speed ever achieved on a bicycle was reached by John Howard of the United States. The bicycle, which was accelerated by being towed by a vehicle, reached a velocity of +245 km/h. Supposed Howard wants to slow down, and applies the brakes on his now freely moving bicycle. If the average acceleration of the bicycle during braking is -3.0 m/s2, how long will it take for the bicycle’s velocity to decrease by 20%? 3. An automobile that set the world record for acceleration increased speed from rest to 96 km/h in 3.07 s. How far had the car traveled by the time the final speed was achieved? 4. Supposed a polar bear wants to swim from an ice floor to a particular point on shore where it knows that seals gather. The bear dives into the water with a speed of 2.6 m/s. By the time the bear arrives to the shore, its speed has decreased to 2.2 m/s. If the polar bear’s swim takes exactly 9.00 min and it has constant deceleration, what is the distance traveled by the polar bear? 5. In 1986, the first flight around the globe without a single refueling was completed. The aircraft’s average speed was 186 km/h. If the airplane lands at this speed and accelerated at -1.5 m/s2, how long did it take for the airplane to stop? 6. The world’s fastest warship belongs the United States Navy. This vessel, which floats on a cushion of air, can move as fast as 1.7 x 102 km/h. Suppose that during a training exercise the ship accelerates +2.67 m/s, so that after 15.0 s it’s displacement is +6.00 x 102 m. Calculate the ship’s initial velocity just before the acceleration. Assume it moves in a straight line. 7. Bengt Norberg of Sweden drove his car 44.8 km in 60.0 min. The feature of this drive that is interesting is that he drove the car on two side wheels. a) Calculate the car’s average speed. b) Supposed Norberg is moving forward at the speed calculated in (a). He then accelerates at a rate of -2.00 m/s2. After traveling 20.0 m, the car falls on all four wheels. What is the car’s final speed while still traveling on two wheels?
8. The Sears Tower in Chicago is 443 m tall. Supposed a book is dropped the top of the building. What would be the book’s velocity at a point 221 m above the ground? Neglect air resistance. 9. Rob Colley set a record in “pole-sitting” when he spent 42 days in a barrel at the top of a flagpole with a height of 43 m. Supposed a friend wanting to deliver an icecream sandwich to Colley throws the ice cream straight up with just enough speed to reach the barrel. How long does it take the ice-cream sandwich to reach the barrel? 10. A common flea is recorded to have jumped as high as 21 cm. Assuming that the jump is entirely in the vertical direction and that air resistance is insignificant, calculate the time it takes the flea to reach a height of 7.0 cm.
