Question

An object starts at 4m/s and accelerates to 6m/s in 10 seconds. Find its displacement.

(the answer is 50 m but I don't know how to solve the question)

Answer 1

Step-by-step explanation:

The 2 equations we need here are, first:

`a=(v_f-v_0)/(t)` and then once we solve for the acceleration here:

`v^2=v_0^2+2a`Δx

Solving for acceleration:

`a=(6-4)/(10)=(1)/(5)(m)/(s^2)` and now we will use that in the other equation:

`6^2=4^2+2((1)/(5))`Δx and

36 = 16 +
`(2)/(5)`Δx and

20 =
`(2)/(5)`Δx and

`(5)/(2)(20)=` Δx so

Δx = 50 m