Question

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

Answer 1

Answer:

Explanation:

The 2 equations we need here are, first:

$a=\frac{v_f-v_0}{t}$ and then once we solve for the acceleration here:

$v^2=v_0^2+2a$Δx

Solving for acceleration:

$a=\frac{6-4}{10}=\frac{1}{5}\frac{m}{s^2}$ and now we will use that in the other equation:

$6^2=4^2+2(\frac{1}{5})$Δx and

36 = 16 + $\frac{2}{5}$Δx and

20 = $\frac{2}{5}$Δx and

$\frac{5}{2}(20)=$ Δx so

Δx = 50 m