Position Formula

When something travels from one point to the other, this is known as displacement. Presuming the golf ball moves from position x₁ to position x₂.

position formula is represented as

Where the first position of the body is x₁,
the second position after undergoing displacement is x₂
the rate of change in the displacement when a change in position takes place is Δx

If the body changes its position after time t the rate of change in position at any moment of time t, x(t) is articulated as,

Where,
the position of the body with time t is x(t)
the initial velocity of the body is v0
the acceleration the body possesses is α
the initial position of the body is x₀

Position Formula Solved Examples

Problem 1: A person travels 30m distance. Calculate the position of the person at the end time 6s if the initial velocity of the person is 4m/s and angular acceleration is 3 m/s².

Answer:

Known :
v₀  = 4m/s

x₀  = 30 m

α  = 3 m/s²

t  = 6s

The change in position of the person at time t is

x(6) = 0.5 × 3  × (6)²+ 4 × 6 +  30

X(6) = 54 + 24 + 30

X(6)= 108 m