Question

Drag each tile to the correct box. Not all tiles will be used

Answer 1

Acceleration: $a=\frac{2(vt-s)}{t^2}$

Step-by-step explanation:

For an object in uniformly accelerated motion, we can use the so-called SUVAT equations.

One of them is:

$s=vt-\frac{1}{2}at^2$

where

s is the displacement

v is the final velocity

t is the time

a is the acceleration

Here we want to re-arrange the equation to find the acceleration. We start by adding $-vt$ on both sides of the equation:

$s-vt=-\frac{1}{2}at^2$

Now we change sign on both sides:

$\frac{1}{2}at^2=vt-s$

And finally we multiply by 2 and divide by $t^2$ on both sides, so we get:

$a=\frac{2(vt-s)}{t^2}$

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