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This resource explores the concept of acceleration, specifically focusing on constant acceleration. It defines acceleration as a change in an object's velocity, measured in units of meters per second squared (m/s²). The document includes various examples, such as calculating the average acceleration of a runner and a car changing direction. Additionally, it examines the acceleration due to gravity and the behavior of objects in free fall, including a skydiver's descent. These concepts are vital for understanding motion in both everyday situations and in physics.
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Motion & Its Applications: Working with Acceleration
Constant Acceleration • Acceleration: A change in an object’s velocity (or speed). • Units: m/s / s (meters per second per second) • OR: m/s2 • Calculated using the following formula: Where: a = acceleration ∆v = change in velocity ∆t = change in time
Eg.1: A runner has an initial velocity of 3 m/s [W] and a final velocity of 11 m/s [W]. If this change took 4 seconds, what was the average acceleration? • Eg.2: A car slows down and changes direction. If it was initially traveling 20 m/s [E] and 45s later, it is traveling 10 m/s [W], what was the average acceleration?
Acceleration Due to Gravity • Any object in “free-fall” will be accelerated down to earth’s surface by gravity at a rate of: • The object will continue to accelerate until it reaches “terminal velocity” (~200 km/h) (more on this later)
Eg.3:A skydiver jumps out of a plane with an initial velocity of 0 m/s. If he falls for 5 seconds, how fast will he be travelling?