Acceleration Concepts
Acceleration
Acceleration
•
Acceleration is defined at the rate of
change of velocity. It is how quickly an
object’s velocity changes.
•
Or, more simply:
Acceleration
•
Acceleration is defined at the rate of
change of velocity. It is how quickly an
object’s velocity changes.
•
Or, more simply:
Acceleration
Acceleration
Acceleration
•
Forward is typically positive
and backwards is negative.
Using a compass, typically
North and East are positive
directions and South and
West are the negative
directions.
•
You do not need to always
use this convention; for some
problems it would be logical
to set South or West to be
positive.
Acceleration
•
To solve an acceleration problem, you will
need to know 3 values to solve for the
fourth. Look out for key phrases like “from
rest” or “to a stop” – these tell the velocity
without using values.
Acceleration
Acceleration
Acceleration
Acceleration
Positive means [E]
Any questions?
Any questions?
Acceleration is defined as the rate of change of velocity, indicating how quickly an object's velocity changes. Learn about units of acceleration, direction conventions, and solve acceleration problems with examples provided.
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Presentation Transcript
Acceleration Acceleration is defined at the rate of change of velocity. It is how quickly an object s velocity changes. ? = ?2 ?1 ?2 ?1 Or, more simply: ? = ? ?
Acceleration Acceleration is defined at the rate of change of velocity. It is how quickly an object s velocity changes. ? = ?2 ?1 ?2 ?1 Or, more simply: ? = ? ?
Acceleration Unit Analysis ? ? ? ? 1 ? ? ? ? ?= ? = ?2 ?1 ?2 ?1 ? Units =? ? =? ?2 2 The units of acceleration are ? ? Meters per second squared
Acceleration The units of acceleration may look odd at first. Meters per second squared, ?/??. This is a shorter way of writing meters per second per second. Acceleration is the rate of change of velocity: how much the velocity (m/s) changes every second. Acceleration takes it direction from the change in velocity. Since the initial velocity and the final velocity could be in different directions, it is important to define which direction is the positive direction.
Acceleration Forward is typically positive and backwards is negative. Using a compass, typically North and East are positive directions and South and West are the negative directions. You do not need to always use this convention; for some problems it would be logical to set South or West to be positive. N + W + E S
Acceleration To solve an acceleration problem, you will need to know 3 values to solve for the fourth. Look out for key phrases like from rest or to a stop these tell the velocity without using values. Example 1 A horse begins a race from rest with an acceleration of 2.2 m/s2 [N]. What is the horse s velocity after 5.8 seconds?
Acceleration Example 1 ? = 2.2?/?2[?] ?1= 0?/? ? = 5.8? ?2= ? ? =?2 ?1 ? ? ? = ?2 ?1 ? ? + ?1= ?2 2.2? ?2? 5.8? +0? 12.76? ? The final velocity is about 13m/s [N]. = ?2 ? ? = ?2
Acceleration Example 2 A hockey puck, with an initial velocity of 65 km/h [W], ricochets off the boards. After 0.76s in contact with the boards, its final velocity is 47 km/h [E]. Determine the acceleration of the puck.
Acceleration Example 2 Let [E] be positive. ?1=65?? ?2=47?? ? = 0.76? ? = ? ? = ?2 ?1 ? 13.0 5? 3600?=18.0 5? 1 3600?=13.0 5? ? 1000? 1 ? 1?? ? ? 1000? ? 1?? ? The acceleration is about 41?/?2 [E]. ? 18.0 5? 0.76? ? ? = ? = 40.9? ?2 Positive means [E]
