(1) v = v0 + at
(2) Δx = v0t + 1/2at^2
(3) v^2 = v0^2 + 2aΔx
(4) Δx = (v0+v)/2 t
The 3 arrows below indicate snapshots of an object's motion with constant acceleration. There are three coordinates (t, v, x) with time, velocity and position indicated. Not all information is available. Your goal is to work through the problems to solve unknowns.
(10, < 0, __)
(0, > 0, __)
(4, 0, __)
Question 1: Add the x-coordinate to each bracket.
Question 2: At t = 0, what is the sign of v0? ANSWER:
Question 3: Is constant acceleration +ve or -ve? ANSWER:
Question 4: Indicate the direction of acceleration on the diagram.
Question 5: What is the sign of Δx at t = 4s? ANSWER:
Question 6: What is Δx at t = 0s, 4s and 10s?
Question 12: Rearrange the equation to make an equation which gives acceleration. Then determine magnitude and direction of acceleration.
ANSWER: a =
Question 13: Write down a kinematics equation which can determine v from the information known
ANSWER:
Question 14: Use this equation to calculate the velocity at t = 8s, 10s and 12s.