Q: If the initial velocity $$v_0 is 2 m/s $$and the acceleration $$a is 3 m/s$^2$$, what is the velocity after 4 seconds according to the graph above?

$$v = 2 + 3 \times 4 = 14 m/s$$

Question 1

The graph above shows velocity as a function of time for an object moving with constant acceleration. Which equation best represents the relationship between velocity and time for this motion?

Accepted Answer

$$v = v_0$ + a t$$

Question 2

What does the slope of the velocity-time graph shown above represent?

Accepted Answer

The object's acceleration

Question 3

If the initial velocity $$v_0 is 2 m/s $$and the acceleration $$a is 3 m/s$^2$$, what is the velocity after 4 seconds according to the graph above?

Accepted Answer

$$v = 2 + 3 	imes 4 = 14 m/s$$

Question 4

If the area under the velocity-time graph from $$t = 0 to$$ $$t = T is $$calculated, what physical quantity does it represent?

Accepted Answer

Displacement

Question 5

Given the velocity-time graph above, which equation would you use to find the displacement after time $$t if $$the initial velocity is $$v_0$$ and acceleration is $$a$$?

Accepted Answer

$$\Delta x = v_0$ t + \frac{1}{2} a t^2$

Kinematics Equations and Proportional Reasoning in 1D Motion

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