Question

If the graph shown is a position-time graph of an object moving at constant velocity, what is the velocity of the object? Assume that the units of position are meters and the units of time are seconds.

Answer 1

C.) v = 50 m/s

Step-by-step explanation:

The relationship between position vs. time graph and velocity is that the derivative (slope) of the position vs. time graph gives you velocity. In other words, find the slope to get the velocity.

Select two arbitrary points. I'll choose (3s, 225m) and (0s, 75m).

Now use the slope equation:

`v = (y_(2) - y_(1) )/(x_(2) - x_(1)) =(225 - 75)/(3-0) = 50 m/s`

v = 50 m/s

Hopes this helps!