Question

Manipulate the following equation to solve for t: (1 point)

s = 1/2 at2

a
2s + a

b
2s/a

c
s/(2a)

d
√(2s/a)

e
√(a/(2s))

Answer 1

To solve the equation \( s = \frac{1}{2} a t^2 \) for \( t \), we can follow these steps:

1. Multiply both sides by 2 to eliminate the fraction:
\[
2s = a t^2
\]

2. Next, divide both sides by \( a \):
\[
\frac{2s}{a} = t^2
\]

3. Finally, take the square root of both sides to solve for \( t \):
\[
t = \sqrt{\frac{2s}{a}}
\]

Thus, the correct answer is:
\[
\text{b } \frac{2s}{a}
\]