Question

Figure for Pre-lab #4: You will need this sample Capstone graph for some of the questions: This is a velocity vs. time graph. Figure 3: Screen shot of a Capstone graph. 39

See the example Capstone graph from the Lab Manual (Figure 3, a velocity vs. time curve). What region of this graph represents the time when the cart is moving down the incline?
1) From A to C
2) From B to C
3) From A to B
I am not certain how to answer this. Please help as soon as possible? Thank you?
2nd Question:
See the example Capstone graph from the Lab Manual (Figure 3, a velocity vs. time curve). Once you have created a graph like this, what will you do with it?
1) Make a quadratic fit to the data (From A to C) to find the acceleration.
2) Find the time at which the curve crosses the V=0 x-axis(point B).
3) Make a linear fit to the data(From A to C) to find the acceleration.
4) Make two linear fits to the data (one from A to B, and the other from B to C), to find two accelerations.
5) Make two quadratic fits to the data(one from A to B, and the other from B to C), to find two accelerations.
I'm stuck between 3 and 4 answers. one linear or two linears?? Please help soon as possible. Thank you.

Answer 1

We know that the slope of the velocity time graph gives the acceleration of the moving object. dv a-Slope dt If the cart is moving down the incline, the magnitude of acceleration must be higher. During A-> B, the slope (Acceleration is higher than B->C Hence the cart is at the incline during the time A-> B Option 3