How well do you do with derivatives and 1d motion? Do you believe you can pass this quiz? With this quiz, you should determine the relationships between acceleration and position and speed and velocity. You will also be expected to understand the nature of velocity with respect to time and solve equations concerning acceleration. This quiz may be challenging, but it is worth a shot.
Acceleration is the rate of change of position.
Position is the second derivative of acceleration with respect to time.
Acceleration is the time derivative of the rate of change of position.
Position and acceleration are not related. It's velocity which is the derivative of position wirh respect to time.
Instantaneous acceleration
Average acceleration
Average velocity
Maximum velocity
Displacement
Speed
Intervals of increasing or decreasing velocity
Intervals when the object is moving forward vs. backward
A(t)
B(t)
C(t)
D(t)
F(t)
0
1
–3.5
–7
–12
–8
–3
Not enough information
H(t) = 0
H'(t)=0
H''(t)=0
H(t) = h'(t)
~5 m/s
~10 m/s
~200 m/s
~2200 m/s
–207.5 m/s
–207 m/s
207 m/s
207.5 m/s
Graph A is the position, Graph B is the velocity, Graph C is the acceleration
Graph C is the position, Graph B is the velocity, Graph A is the acceleration
Graph B is the position, Graph A is the velocity, Graph C is the acceleration
Graph A is the position, Graph C is the velocity, Graph B is the accleration
Speed is the rate of change of velocity.
Velocity is the rate of change of speed.
Velocity is the accumulation of speed.
Speed is the magnitude of velocity.
Wait!
Here's an interesting quiz for you.