# Velocity From Graph#

Refer to the following figure. Figure: Position vs. time graph for the following two questions.

## Part 1#

At $$t=$$ 0.5$$s$$, what is the x-component of the instantaneous velocity of the object whose position vs. time graph is shown in the figure?

• 1 $$m/s$$

• -0.5 $$m/s$$

• -2 $$m/s$$

• 2 $$m/s$$

• -1 $$m/s$$

## Part 2#

For the object whose position vs time graph is shown in the figure above, the x-component of the average velocity ($$v\_{avg,x ; 0 \rightarrow 3}$$) and average speed ($$v\_{avg ; 0 \rightarrow 3}$$) over the time interval t=0s to t=3s are:

• $$v_{avg,x \; 0 \rightarrow 3}$$ = -0.33 $$m/s$$ and $$v_{avg \; 0 \rightarrow 3}$$= 1 $$m/s$$

• $$v_{avg,x \; 0 \rightarrow 3}$$ = -0.33 $$m/s$$ and $$v_{avg \; 0 \rightarrow 3}$$= 0.33 $$m/s$$

• $$v_{avg,x \; 0 \rightarrow 3}$$ = -0.35 $$m/s$$ and $$v_{avg \; 0 \rightarrow 3}$$= 0.5 $$m/s$$

• $$v_{avg,x \; 0 \rightarrow 3}$$ = -0.5 $$m/s$$ and $$v_{avg \; 0 \rightarrow 3}$$= -2 $$m/s$$

• $$v_{avg,x \; 0 \rightarrow 3}$$ = -2 $$m/s$$ and $$v_{avg \; 0 \rightarrow 3}$$= -0.5 $$m/s$$ 