To solve for the value of [tex]\( s \)[/tex] given that [tex]\( a = 0.9 \)[/tex] and [tex]\( t = 4 \)[/tex] using the formula
[tex]\[
s = \frac{1}{2} a t^2
\][/tex]
we proceed as follows:
1. Identify the given values:
- [tex]\( a = 0.9 \)[/tex]
- [tex]\( t = 4 \)[/tex]
2. Substitute the given values into the formula:
[tex]\[
s = \frac{1}{2} \times 0.9 \times 4^2
\][/tex]
3. Calculate [tex]\( t^2 \)[/tex]:
- [tex]\( 4^2 = 16 \)[/tex]
4. Multiply [tex]\( a \)[/tex] and [tex]\( t^2 \)[/tex]:
- [tex]\( 0.9 \times 16 = 14.4 \)[/tex]
5. Multiply the result by [tex]\( \frac{1}{2} \)[/tex]:
- [tex]\( \frac{1}{2} \times 14.4 = 7.2 \)[/tex]
Thus, the value of [tex]\( s \)[/tex] is:
[tex]\[
s = 7.2
\][/tex]
