Kinematics

Question 1

What is the description for average velocity along a straight line?

Answer 1

V_av = V_{(2 or f)} - V_{(1 or i)}/ T₂ - T₁= ΔV / ΔT

Question 2

What is the equation to find out the instantaneous value of the velocity?

Answer 2

It is the velocity at any one instant:

v_f = v_i + a.Δt = lim(->0) Δx/Δt = dx/dt

Question 3

What is the average acceleration?

Answer 3

a_av = v_f - v_i / t₂ - t₁ = Δv/Δt

Question 4

What is the instantaneous acceleration?

Answer 4

a_f = lim(->0) Δv/Δt = dv/dt

Question 5

What is the average displacement?

Answer 5

The symbols could be x, d, s etc.

x_av = x₂ - x₁ / t₂ - t₁ = Δx/Δt

Question 6

What is the instantaneous change in displacement?

Answer 6

x_f = x_i + v_f.Δt + 1/2.a.Δt²

Question 7

Other useful straightline motion with constant acceleration equations…

1) for vf²
2) x - x₀

Answer 7

1) vf² = v_i² + 2a(x_f - x_i)
2) x_f - x_i = (vi + vf/2).t

Question 8

Straight line motion w/ varying accelerations? (Integration from a to v to x)

Answer 8

v_f = v_i + [intergal from 0 to t] a.dt

and

x_f = x_i + [intergal from 0 to t] v​.dt