What does an increasing exponential on a velocity-time graph show?
Increasing acceleration.
What does a decreasing exponential on a velocity-time graph show?
Decreasing acceleration.
How can you find the velocity of a displacement, s, expressed as a function of time, t?
Differentiate it.
v = ds/dt
(as the gradient of a displacement-time graph is the velocity)
How can you find the acceleration of a velocity, v, expressed as a function of time, t?
Differentiate it.
v = dv/dt
(as the gradient of a velocity-time graph is the accleration)
How can you find the acceleration of a displacement, s, expressed as a function of time, t?
Find the second derivitive.
v = dv/dt = d²s/dt²