Motion Time Problems Flashcards
(26 cards)
V(t) means
Velocity over time
X(t) means
Position and how it changes over time
A(t) means
Acceleration over time
How do we convert A(t) to V(t)
Integrate
∫Α(t) =
V(t)
How do we convert V(t) to X(t)
Integrate
∫V(t) =
X(t)
How do we convert V(t) to A(t)
Differentiate
V ’(t) =
A(t(
X’(t) =
V(t)
How do we find if speed is increasing at t=a?
Step 1. Find acceleration when t=a, and velocity when t=a
Step 2. If signs are Different, speed is Decreasing. If signs are the same , speed is increasing
In a velocity time graph, area =
Distance
In a velocity time graph, slope =
Acceleration
In an position time graph, slope =
Velocity
Speed is decreasing in a graph when
The line is sloping down
Speed is increasing in a graph when
A line is sloping up
When does an object change direction
When V(t) changes sign (negative to positive or positive to negative)
Average Velocity Over Time =
b
1 / b-a * ∫ V(t) dt
a
Instantaneous / Spontaneous Velocity =
V(t)
Speed =
|V(t)|
(Absolute velocity)
Total Distance Travelled =
b .
∫ V(t) dt
a .
Total Change in Position =
b
X(0) + ∫ V(t) dt
0
(Add where you started from)
If Velocity is positive, the particle is moving
Right or up
If Velocity is negative, the particle is moving
Left or down
