Question

The graph represents velocity over time. What is the acceleration? –0.4 m/s2 –0.2 m/s2 0.2 m/s2 0.4 m/s2

Answer 1

Answer:

I watched the video I posted this picture

Answer 2

Step-by-step explanation:

In a uniformly accelerated motion, the velocity at time t is given by:

v(t)=atv(t)=at

where a is the acceleration and t is the time.

Given the previous equation, if we plot v(t) versus t, we find a straight line; moreover, a (the acceleration) represents the slope of the curve.

Looking at the graph, we see that when the time goes from 10 s to 20 s, the velocity increases from 4 m/s to 6 m/s. Therefore the slope of the curve is

a= \frac{\Delta v}{\Delta t}= \frac{6 m/s-4 m/s}{20 s-10 s}= \frac{2 m/s}{10 s}=0.2 m/s^2a=

Δt

Δv

=

20s−10s

6m/s−4m/s

=

10s

2m/s

=0.2m/s

2

and this corresponds to the acceleration.

So, the correct answer is 0.2 m/s2.