Kinematics

Linear Motion (Speed, Velocity and Acceleration)

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WHAT IS MOTION? • A continuous change of position with respect to a certain reference point.

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What is Distance? • Total length of a path.

What is DISPLACEMENT? • Refers to the straight line distance between the starting point and the end point.

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What is speed? • How fast something moves; the distance traveled per unit time. SPEED= distance/ time

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What is Velocity? • The speed of an object and a specification of its direction of motion. VELOCITY= displacement/ time

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What is Acceleration? • The rate at which velocity changes with time; the change in velocity may be in magnitude, or direction, or both. ACCELERATION= ΔVelocity/ time

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Summary of Formulas: •Speed s= distance/ time •Average Speed save= total distance covered/ time interval •Velocity v= diplacement/ time •Acceleration a= (vfinal – vinitial)/ time Prepared by: Mr. J G Chavez for MCS

Summary of Formulas: •Uniform/ Constant Acceleration vfinal = vinitial + at d= vinitialt + (at2)/2 vfinal2= vinitial2 + 2ad

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1 minute to memorize the formulas

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Get a sheet of paper and answer the following questions: You will be given a minute to answer each problem.

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1. What is the displacement of the crosscountry team if they begin at the school, run 10 miles and finish back at the school?

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1. What is the displacement of the crosscountry team if they begin at the school, run 10 miles and finish back at the school? ANSWER= 0 miles

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2. While on vacation, Lisa Carr traveled a total distance of 440 miles. Her trip took 8 hours. What was her average speed?

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2. While on vacation, Lisa Carr traveled a total distance of 440 miles. Her trip took 8 hours. What was her average speed? ANSWER= 55 mi/hr

Prepared by: Mr. J G Chavez for MCS

3. Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then determine the displacement of the car during the skidding process.

Prepared by: Mr. J G Chavez for MCS

3. Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then determine the displacement of the car during the skidding process. ANSWER= 56.3 meters

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4. Ben Rushin is is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a 6.00 m/s2 for a time of 4.10 seconds. Determine the displacement of Ben's car during this time period.

Prepared by: Mr. J G Chavez for MCS

4. Ben Rushin is is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a 6.00 m/s2 for a time of 4.10 seconds. Determine the displacement of Ben's car during this time period. ANSWER= 50.4 meters

Prepared by: Mr. J G Chavez for MCS

5. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

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5. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff. ANSWER= 1720 meters

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6. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

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6. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car. ANSWER= 8.10 m/s2

Prepared by: Mr. J G Chavez for MCS

7. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall?

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7. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall? ANSWER= d = 33 m and vf = 25.5 m/s

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8. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

Prepared by: Mr. J G Chavez for MCS

8. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled. ANSWER= a = 11.2 m/s/s and d = 79.8 m

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FIN Proceed to the next module…

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