Question

where ( s ) is the distance traveled by an object (in meters) with an initial velocity
find ( s ) when ( u ) is ( 9 mathrm{~m} / mathrm{s}, v ) is ( 13 mathrm{~m} / mathrm{s} ), and ( t ) is 2 seconds.
a. ( 44 mathrm{~m} )
b. ( 15.5 mathrm{~m} )
c. ( 22 mathrm{~m} )
d. ( 8 mathrm{~m} )
reset selection

Explanation:

Step1: Substitute the values into the formula

Given \(u = 9\), \(v = 13\), \(t=2\), substitute into \(s=\frac{1}{2}(u + v)t\).

$$s=\frac{1}{2}(9 + 13)\times2$$

Step2: Simplify the expression inside the parentheses

First, calculate \(9+13 = 22\). Then the formula becomes \(s=\frac{1}{2}\times22\times2\).

Step3: Perform the multiplication

\(\frac{1}{2}\times22\times2=( \frac{1}{2}\times2)\times22=1\times22\)

Answer:

C. 22 m