Hello!
Let us apply the time function of space, in the uniform uniform motion (UUM)
Formula: [tex]S = S_{o} + V_{o}* t + a* \frac{t^2}{2} [/tex]
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:
[tex]S = S_{o} + V_{o}* t + a* \frac{t^2}{2} [/tex]
[tex]30 = 0 + 0*t + 2.1* \frac{t^2}{2} [/tex]
[tex]30 = \frac{2.1t^2}{2} [/tex]
[tex]30*2 = 2.1t^2[/tex]
[tex]60 = 2.1t^2[/tex]
[tex]2.1t^2 = 60[/tex]
[tex]t^2 = \frac{60}{2.1} [/tex]
[tex]t^2 \approx 28.5[/tex]
[tex]t \approx \sqrt{28.5} [/tex]
[tex]\boxed{\boxed{t \approx 5.3\:s}}\end{array}}\qquad\quad\checkmark[/tex]
Answer:
C. 5.3s
