**Practice Exam 1**

1. The slope of a graph of the acceleration of a particle vs. time is

a) velocity

b) acceleration

c) rate of change of acceleration

d) position

2. A bowling ball is dropped from a height of 200 meters. How long does it

take to reach the ground?

3. What must the vertical component of the initial velocity of an artillery shell

be in order for the shell to reach a maximum altitude of 1 mile?

4. True or False: Due to the presence of air resistance, an artillery shell must be fired at

angle less than 45 degrees to the horizontal in order to travel the greatest distance.

5. True or False: For low velocities, the force of air resistance increases linearly with

velocity.

6. True or False: The acceleration of a particle may be described as a vector.

7. Consider two velocity vectors. The components of the first vector are 300 m/sec

north and 400 m/sec east. The components of the second vector are 200 m/sec south

and 400 m/sec west. What are the components of the velocity that is the sum of these

velocity vectors?

8. The velocity of an airplane relative to the air is 300 mph north and 400 mph east. The

velocity of the air relative to the ground is 200 mph south and 400 mph west. What is

the velocity of the airplane relative to the ground?

9. The vertical component of the initial velocity of a rocket is 400 m/sec, and its

horizontal component is 300 m/sec. What is the initial speed of the rocket?

10. The minute hand of a clock tower is 5 meters long. What is the magnitude of

the acceleration of the tip of this minute hand in
meters/sec^{2}?

11. What is the angular velocity about the rotational axis of the earth of a person sitting at

the equator? Give your answer in radians per second.

12. An ocean liner has a total mass of 10^{7}
kilograms. Her captain throws its engines into

reverse. The backward force of the engines together with that of the water comes to

10,000 kg-m/sec^{2}. What is the magnitude of
the acceleration felt by the passengers?

13. True or False: Your mass on the moon is the same as your mass on earth.

14. True or False: If a particle is in motion, it must have a force currently acting on it.

15. A 1-kg brick is on a plane inclined at an angle of 30 degrees to the horizontal.

What is the component of the bricks weight in the direction parallel to the surface of

the inclined plane?

16. A 50-kg chandelier is suspended from the ceiling by a chain. What is the tension in

the chain?

17. Which of Newtons laws says that objects at rest tend to remain at rest and those in

motion tend to remain in motion?

18. An object has 4 forces acting on it. These forces point in different directions

outward from the object. The object is not moving. Is the object in equilibrium?

19. A woman weighing 300 lbs stands on a concrete sidewalk whose density 418 grams

per cubic centimeter. What is the force exerted by the sidewalk on the woman?

20. A particle moves in a circle at a constant speed. Is its velocity constant?