1. A car drives through a car wash that has an open end that is X= X2 - X1 = 20 m, and an initial velocity of 20.0 m/s and decelerates at a rate of 0.100 m/S^2 as it goes through for wash. (a) How long is the car in the car wash? (b) How fast is it going when the nose leaves the station? (c) If the car is 10 m long, when does the end of the car leave the car wash? Hint, Use quadratic to solve a.

2. A Greyhound bus called the American Eagle set the world's nonstop long-distance speed record for bus. Its run from Kansas City to Dallas took 5 hours. The total distance traveled was 815.0 km. What was its average speed in km/h and m/s?

3. James drove 10.0 m straight west and then 15.0 m straight north. How far was James from his starting point, and what is the compass direction of a line connecting James starting point to his final position?

4. If a pilot flies 35 km in a direction 50 degree north of east and then flies 15km in a direction degree north of east (a)Find the total distance from the starting point and the direction of the straight-line path to the final position.

5. A projectile is launched at ground level with an initial speed of 40.0 m/s at an angle of above the horizontal. It strikes a target above the ground 3.00 seconds later. What are the and distances from where the projectile was launched to where it lands?

6. A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c)What maximum height is attained by the ball?

7. A 60.0-kg Athlete starts a race with an acceleration of 4 m/s2. What is the net external force on the Athlete?

8. Suppose a 60.0-kg gymnast climbs a rope. (a) What is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s^2?

9. The rocket sled shown in Figure below accelerates at a rate of 49.0m/s^2. Its passenger has a mass of 75.0 kg. (a) Calculate the horizontal component of the force the seat exerts against his body. Compare this with his weight by using a ratio. (b) Calculate the direction and magnitude of the total force the seat exerts against his body.

10. What net external force is exerted on a 1100-kg artillery shell fired from a battleship if the shell is accelerated at 2.40x10^4 m/s^2? What force is exerted on the ship by the artillery shell?

11. Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,000 kg. The thrust of its engines is 30,000 N. (a) Calculate its acceleration in a vertical takeoff from the Moon. (b) Could it lift off from Earth? If not, why not? If it could, calculate its acceleration.

12. Suppose you have a 120-kg wooden crate resting on a wood floor. (a) What maximum force can you exert horizontally on the crate without moving it? (b) If you continue to exert this force once the crate starts to slip, what will the magnitude of its acceleration then be?

13. A 5.00x10^5 kg rocket is accelerating straight up. Its engines produce 1.250x10^7 of thrust, and air resistance is 4.5x10^6 N. What is the rocket's acceleration? Explicitly show how you follow the steps in the Problem-Solving Strategy for Newton's laws of motion.

14. A dog wondering in the park in two dimensional motion of x(t) = -0.31t^2 + 7.2t +28, What is the dog x component of the velocity at t = 10s.

15. A dog wondering in the park in two dimensional motion of y(t) = -0.22t^2 -9.1t +30, What is the dog y component of the velocity at t = 5s.

16. A dog wondering in the park in two dimensional motion of x(t) = -0.31t^2 + 7.2t +28, What is the dog x component of the acceleration at t = 10s.

17. Given a two vectors in unit vector notation, a = 2i + 2j + 1k and vector b = 3i - 4j + 2k, what is their dot product?

18. Given a two vectors in unit vector notation, a = 2i + 2j + 1k and vector b = 3i - 4j + 2k, what is their cross product?

19. What is the unit vector n of vector a = 2i + 2j + 1k