10_acceleration

10_acceleration - Lesson 10: Acceleration Acceleration is a...

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Lesson 10: Acceleration Acceleration is a vector which measures the change in the velocity of an object. Don’t forget that velocity is a vector, so it has magnitude and direction . This means acceleration could be any of the following three… 1. a change in speed , the magnitude of the velocity (from 34 km/h to 67 km/h) 2. a change in direction (from East to North-East) 3. a change in both speed and direction (from 34 km/h East to 12 km/h West) Acceleration is a measure of the rate at which velocity changes. Since velocity is a measure of the rate of change in displacement and had the equation… v = d t the equation for acceleration should be similar, since it is a rate of change in velocity. .. a = v t a = acceleration (m/s/s or just m/s 2 ) Δv = change in velocity ( m/s ) Δt = time interval ( s ) For day to day use this formula is usually expanded to show that the change in velocity means final minus initial. a = v f v i t Notice the units for acceleration. Since we take velocity and divide by time, we would get (without any simplification) m/s/s for units. What this really means is that for every second that passes the velocity of the object will change by this many metres per second. To make it a bit easier to read we use a little math to get m/s 2 for the units. Example 1 : A car moving at 50km/h accelerates to 60km/h in 7.0 seconds. Determine its acceleration. We first need to change the velocities from km/h into m/s: 50 km/h = 13.88888889 m/s 60km/h = 16.66666666 m/s Now we use the formula. 7/22/2011
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This note was uploaded on 12/02/2011 for the course PHYSICS 235 taught by Professor Staff during the Fall '08 term at Rutgers.

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10_acceleration - Lesson 10: Acceleration Acceleration is a...

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