Acceleration
What is acceleration? • Acceleration is a measure of the change in velocity per unit of time – How much something is speeding up – How much something is slowing down
• (final velocity - initial velocity)/time • If the velocity of an object is changing it is accelerating (even if it is slowing down)
Acceleration is related to change in velocity and time. • If two objects have the same change in velocity the one that changes in the least amount of time has the greatest acceleration – A Mercedes applies its breaks and slows down from 50 to 0 mph in 10 seconds. A Lexus applies its breaks and slows down from 50 to 0 mph in 8 seconds. The Lexus has a greater acceleration.
Acceleration is related to change in velocity and time. • If two objects accelerate over a set time, the one that undergoes the greatest change in velocity accelerates the most – A Camaro and a Mustang both accelerate from rest (0 mph) for 10 seconds. The Camaro gets up to 70 mph and the Mustang gets up to 80 mph. The mustang has a greater acceleration
What are the units of acceleration? • Acceleration is always measured in velocity (distance/time) units divided by time units. velocity/time (m/s)/s m/s*1/s m/s2
What are the ways that an object can accelerate? • Velocity can change in two ways so acceleration can change in two ways: – The speed can increase or decrease – The direction can change
What is the formula for acceleration?
• a = (vf-vi)/t • a = acceleration • vf = final velocity • vi = initial (beginning) velocity • t = time
Example • A car accelerates from 10 m/s to 30 m/s in 10 seconds. What is the cars acceleration?
Example • A car starts from rest and reaches 45 m/s in 9 seconds. What is the car’s acceleration?