Highlights
1- Starting from home, you bicycle 26 kmkm north in 2.7 hh and then turn around and pedal straight home in 1.7 hh . What are your
(a) displacement at the end of the first 2.7 hh ,
(b) average velocity over the first 2.7 hh ,
(c) average velocity for the homeward leg of the trip,
(d) displacement for the entire trip, and
(e) average velocity for the entire trip?
2- A space shuttle's main engines cut off 7.9 minmin after launch, at which time the shuttle's speed is 7.9 km/skm/s . What is the shuttle's average acceleration during this interval?
3- A model rocket leaves the ground, heading straight up at 53 m/sm/s . What's its maximum altitude?, Find its velocity at 1 ss?, Find its altitude at 1 sec?, Find its velocity at 4 sec? Find its altitude at 4 ss? Find its velocity at 7 sec?, Find its altitude at 7 ss?
4- A Frisbee is lodged in a tree branch 6.1 mm above the ground. A rock thrown from below must be going at least 3.0 m/sm/s to dislodge the Frisbee.
How fast must such a rock be thrown upward if it leaves the thrower's hand 1.3 mm above the ground?
5- A rock is thrown directly upward from the edge of the roof of a building that is 56.6 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects of air resistance. With what speed was the rock thrown?
6- You allow yourself 32 minmin to drive 21 mimi to the airport, but you're caught in heavy traffic and average only 25 mi/hmi/h for the first 20 minmin . What must your average speed be on the rest of the trip if you're to make your flight?
7- You can run 9.8 m/sm/s , 20%% faster than your brother. How much head start should you give him in order to have a tie race over 80 mm ?
8- Amtrak's 20th-Century Limited is en route from Chicago to New York at 100 km/hkm/h when the engineer spots a cow on the track. The train brakes to a halt in 1.1 minmin , stopping just in front of the cow. What is the magnitude of the train's acceleration? What's the direction of the acceleration? How far was the train from the cow when the engineer first applied the brakes?
9- You're an investigator for the National Transportation Safety Board, examining a subway accident in which a train going at 86 km/hkm/h collided with a slower train traveling in the same direction at 20 km/hkm/h . Your job is to determine the relative speed of the collision, to help establish new crash standards. The faster train's "black box" shows that it began negatively accelerating at 2.2 m/s2m/s2 when it was 50 mm from the slower train, while the slower train continued at constant speed.
10- You and your roommate plot to drop water balloons on students entering your dorm. Your window is 20 mm above the sidewalk. You plan to place an X on the sidewalk to mark the spot a student must be when you drop the balloon. You note that most students approach the dorm at about 3 m/sm/s .
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