Question

An object with constant acceleration has a velocity of v=10 m/s when it is at x+6m, and v =15m/s  when it is at x= 10 m. What is its acceleration ?

Answer 1

Hey.

Here is the answer.

at x = 6 m ; v = 10 m/s

at x = 10 m ; v = 15 m/s

So, s = final - initial position = 10-6= 4 m

Also,
${v}^{2} - {u}^{2} = 2as$
So,
${15}^{2} - {10}^{2} = 2 \times a \times 4$

or, 225 - 100 = 8a

or, 125 = 8a

so, a = 125 /8 = 15.625 m/s^2

Thanks .