Question

NEED HELP! What is the first step to solve the equation a=2d/t^2 , where a is acceleration, d is the distance, and t is time. If an object accelerates at a rate of 2(m/s^2) for 10 meters, what is the total time elapsed?

Answer 1

Plug in a = 2 m/s^2 and d = 10 m, and solve for t (in s):

`a=(2d)/(t^2)\iff2(\rm m)/(\mathrm s^2)=(2\cdot10\,\mathrm m)/(t^2)`

`\implies t^2=(20\,\rm m)/(2(\rm m)/(\mathrm s^2))=10\,\mathrm s^2`

`\implies t=√(10)\,\mathrm s`

So the answer is C.