# Physics for Scientist and Engineers third edition Kinematics 1-D

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1 Kinematics 1-D The position of a runner as a function of time is plotted along the x axis of a coordinate system. During a 3.00 s time interval, the runner s position changes from x1=50.0 m to x2= 30.5 m. What was the runners average velocity Answer: m/s RoessBoss :25:50 1/19 Kinematics1Dproblems.pdf (#1)

2 RoessBoss :25:50 2/19 Kinematics1Dproblems.pdf (2/19)

3 Kinematics 1D How far can a cyclist travel in 2.5 h along a straight road if her average speed is 18 km/h Answer: 45km RoessBoss :25:50 3/19 Kinematics1Dproblems.pdf (3/19)

4 Kinematics 1D- Average Acceleration A car accelerates along a straight road from rest to 75 km/h in 5.0 secs. What is the magnitude of its average acceleration Answer: 15 (km/h)/sec RoessBoss :25:51 4/19 Kinematics1Dproblems.pdf (4/19)

5 RoessBoss :25:51 5/19 Kinematics1Dproblems.pdf (5/19)

6 Kinematics 1D- Average Acceleration An automobile is moving to the right along a straight highway, which we choose to be positive x axis and the driver puts on the brakes. If the intial velocity is V1= 15.0 m/s and it takes 5.0 s to slow down to V2= 5.0 m/s, what was the car s average acceleration? Answer: -2.0 m/s 2 RoessBoss :25:51 6/19 Kinematics1Dproblems.pdf (6/19)

7 RoessBoss :25:51 7/19 Kinematics1Dproblems.pdf (7/19)

8 Kinematics 1D- Constant Acceleration You are designing an airport for small planes. One kind of airplane that might use this airfield must reach a speed before takeoff of at least 27.8m/s (100km/h), and can accelerate at 2.00 m/s^2. A) If the runway is 150 m long, can this airplane reach the proper speed to take off? B) If not, what minimum length must the runway have? RoessBoss :25:51 8/19 Kinematics1Dproblems.pdf (8/19)

9 Answer: A) 24.5 m/s B) 193 m RoessBoss :25:51 9/19 Kinematics1Dproblems.pdf (9/19)

10 Kinematics 1D- Solving Various Problems How long does it take a car to cross a 30.0 m wide intersection after the light turns green, if it accelerates from rest at a constant 2.00 m/s^2 Answer: 5.48 sec RoessBoss :25:51 10/19 Kinematics1Dproblems.pdf (10/19)

11 RoessBoss :25:51 11/19 Kinematics1Dproblems.pdf (11/19)

12 Kinematics 1D- Solving Various Problems Suppose you want to design an air bag system that can protect the driver in head-on collision at a speed of 100 km/h (60 mph). Estimate how fast the air bag must inflate to effectively protect the driver. Assume the car crumples upon impact over a distance of about 1 m. How does the use of a seat belt help the driver? RoessBoss :25:51 12/19 Kinematics1Dproblems.pdf (12/19)

13 Answer: a= -390 m/s^2 ;t=0.07 s RoessBoss :25:52 13/19 Kinematics1Dproblems.pdf (13/19)

14 Kinematics 1D- Falling Objects Suppose that a ball is dropped from a tower 70.0 m high. How far will it have fallen after 1.00 s, 2.00 s, and 3.00 s. Assume y is positive downward. Neglect air resistance. Answer: 4.90 m; 19.6m; 44.1 m RoessBoss :25:52 14/19 Kinematics1Dproblems.pdf (14/19)

15 RoessBoss :25:52 15/19 Kinematics1Dproblems.pdf (15/19)

16 Kinematics 1D- Falling Objects Suppose the ball in Example above is thrown downward with an initial velocity of 3.00 m/s, instead of being dropped. A) What then would be its position after 1.00 s and 2.00 s? B) What would its speed be after 1.00 s and 2.00 s? Compare the speeds of a dropped ball. Answer: 7.90 m; 25.6 m; 12.8 m/s; 22.6 m/s; 980 m/s; 19.6 m/s RoessBoss :25:52 16/19 Kinematics1Dproblems.pdf (16/19)

17 RoessBoss :25:52 17/19 Kinematics1Dproblems.pdf (17/19)

18 Kinematics 1D- Falling Objects A person throws a ball upward into the air with an initial velocity of 15.0 m/s. Calculate A) how high it goes and B) how long the ball is in the air before it comes back to his hand. We are not concerned here with the throwing action, but only with the motion of the ball after it leaves the thrower s hand. Answer: 11.5 m; 0 and 3.06 sec RoessBoss :25:52 18/19 Kinematics1Dproblems.pdf (18/19)

19 RoessBoss :25:52 19/19 Kinematics1Dproblems.pdf (19/19)

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