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On your paper, graph the following: D (m) T (sec) 00 57 57 10 14 15 21

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A distance-time graph which is a straight line indicates constant speed. In constant speed, the object does not speed up or slow down. The acceleration is zero.

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D (m)T (s) 00 51 202 453 804 1255

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0 1 2 3 4 5

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A graph that curves on a distance-time graph shows that the object is accelerating

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Speed = Distance ÷ Time D_ S T Example: A car travels 300km in 6 hours. What is the speed of the car?

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Speed = distance ÷ time Speed = 300km ÷ 6 hours Speed = 50km/hr

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1. How far can a plane travel if it flies 800km/hr for 9 hours? 2. How long does it take a ship to go 500 km if it travels at a speed of 50km/hr?

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1. D S T D 800 9 800km 9hrs = 7200km hr

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2. D S T 500 50 T 500km ÷ 50km = 10 hrs hr

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Describe the motion of the object as shown in the graph. From 0-8 sec, constant speed: (25 m/sec); From 8-12 sec, no motion; From 12-16 sec, acceleration; From 16-20 sec, constant speed

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Using the distance-time graph from the last frame, draw a speed time graph. First fill in the table below: Average Speed (m/s) Time (sec) ____0 to 8 ____8 to 12 ____12 to 20 25 0 37.5

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Constant speed will be a horizontal line on a speed time graph. If the speed decreases, the line will slant down. If the speed increases, the line will slant up.

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Change in velocity Can be change in speed or direction Acceleration = V/ T V at

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A roller coasters velocity at the top of a hill is 10m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26m/s. What is the acceleration of the roller coaster?

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Acceleration = V/ T a = 26m/s – 10m/s 2 s a = 16m/s 2s a = 8m/s/s or 8m/s 2

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Negative acceleration Example: A car slows from 60mi/hr to 20mi/hr in 4 seconds. What is its acceleration? Acceleration = V/ T Acceleration = Vf – Vi t a = 20mi/hr – 60mi/hr 4 s a = -40mi/hr 4s a = -10mi/hr/s

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GRAPHING SPEED & ACCELERATION Making and Interpreting Distance – Time Graphs.

GRAPHING SPEED & ACCELERATION Making and Interpreting Distance – Time Graphs.

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