Question

1. Predict the graphs (no scales are acceleration vs time for run 1. (Constant velocity run.) needed) of position vs time, velocity vs time, and х a Predict the graphs (no scales are needed) of position vs time, velocity vs time, and 2. acceleration vs time for run 2. (Accelerated run.) a X Predict the graphs (no scales are needed) of position vs time, velocity vs time, and 3. acceleration vs time for run 3. (Cart moving up then down the track.) a V t t t

I could use some explanation on these please...I understand most of them but some I am confused on

Thanks

Answer 1

Solution

1)

The graphs for constant speed are shown below.

Constant velocity run X V t t a а30 t

For the graph of position vs. time. The position increases proportionally with the elapsed time. The slope of the line does not provide the speed of the car. 

On the other hand, in the relation of velocity against time, the slope is zero, and the velocity is the same as a function of time. Finally there is no graph of acceleration vs time, since there is no variation in velocity as a function of time

2)

Now the graphs of the object when the movement is accelerated, is shown below.

Accelerated run х V a 0 а%3D0 t t t

In this section, the movement is accelerated and the position of the car increases not proportionally with time, that is, it is a curvilinear function, or the branch of a parabola.
with respect to the velocity vs. time graph, said speed increases linearly with time. Finally, we consider the constant acceleration, noting a uniform line as a function of time.

3)

The last movement of the car is varied, where we consider the movement of the car up, as retarded, while the movement down as accelerated. The following figures illustrate this situation:

Cart moving up then down the track х V down a 0 а%3D0 a>0 down up a<0 а<0 up t t а a>0 up t a<0 down

In reference to the first graph, the reference level is the movement with constant rapidity (a = 0), since the curves above said line represent the downward movement of the cart (down), while the curve below of a = 0, represent the curve for the cart movement up (up). While in the velocity graph, the movement of the car up, represents a straight line with a negative slope, while the movement down, of positive slope.

Finally, the last graph represents a constant acceleration, but above and below y = 0, as illustrated in the figure.