MOTION PROBLEMS: MULTIPLE PARTS Many problems will include ...
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MOTION PROBLEMS: MULTIPLE PARTS ● Many problems will include multiple parts. - Draw a complete INTERVAL diagram and write one equation for each interval.
UAM EQUATIONS (1) (2) (3) *(4)
v = vo + a t v2 = vo2 + 2 a Δx Δx = vo t + ½ a t2 Δx = ½ ( vo + v ) t
EXAMPLE 1: A car travels at a constant 50 m/s for 10 s, and then at a constant 30 m/s for 600 m. (a) Draw the interval diagram. (b) What is the total distance traveled? (c) What is the average velocity from start to end?
EXAMPLE 2: You are driving at 30 m/s when you see the traffic light turn yellow. You “immediately” (the average reaction time of a person is 0.7 s) hit the brakes, causing the car to decelerate at a constant 7 m/s2. (a) How far will you travel in the 0.7 s that it took you to react? (b) Once you start braking, how long (in seconds) does it take for you to stop? (c) What is your total stopping distance?
