Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the starting position of this object is \boxed{} m. the object is trave…

Question

the starting position of this object is \boxed{} m.
the object is traveling at a velocity of \boxed{} m/s.
position vs time

Explanation:

Step1: Find starting position

The starting position is at \( t = 0 \) s. From the graph, when \( t = 0 \), the position is \( 3 \) m.

Step2: Calculate velocity

Velocity is the slope of the position - time graph. The formula for slope (velocity \( v \)) is \( v=\frac{\Delta x}{\Delta t} \), where \( \Delta x \) is the change in position and \( \Delta t \) is the change in time.
We can take two points, for example, at \( t_1 = 0 \) s, \( x_1 = 3 \) m and at \( t_2 = 4 \) s, \( x_2 = 15 \) m.
\( \Delta x=x_2 - x_1=15 - 3 = 12 \) m, \( \Delta t=t_2 - t_1 = 4-0 = 4 \) s.
Then \( v=\frac{12}{4}=3 \) m/s.

Answer:

The starting position of this object is \( \boldsymbol{3} \) m.
The object is traveling at a velocity of \( \boldsymbol{3} \) m/s.