Hello!
Let us apply the time function of space, in the uniform uniform motion (UUM)
Formula: \(S = S_{o} + V_{o}* t + a* \frac{t^2}{2}\)
Data:
S (Final position) = 30 m
So (Initial Position) = 0 m
Vo (Initial velocity) = 0 m/s
t (time) = ? (in seconds)
a (acceleration) = 2.1 m/s²
Solving:
\(S = S_{o} + V_{o}* t + a* \frac{t^2}{2}\)
\(30 = 0 + 0*t + 2.1* \frac{t^2}{2}\)
\(30 = \frac{2.1t^2}{2}\)
\(30*2 = 2.1t^2\)
\(60 = 2.1t^2\)
\(2.1t^2 = 60\)
\(t^2 = \frac{60}{2.1}\)
\(t^2 \approx 28.5\)
\(t \approx \sqrt{28.5}\)
\(\boxed{\boxed{t \approx 5.3\:s}}\end{array}}\qquad\quad\checkmark\)
Answer:
C. 5.3s
