A model car starts from rest and travels in a straight line. A smartphone mounted on the car has an app that transmits the magnitude of the car’s acceleration (measured by an accelerometer) every second. The results are given in the table:

Time (s) ............................... Acceleration (m/s² )
0 ..................................................... 5.95
1.00  ............................................... 5.52
2.00  ............................................... 5.08
3.00  ............................................... 4.55
4.00   ...............................................3.96
5.00   .............................................. 3.40

Each measured value has some experimental error.

(a) Plot acceleration versus time and find the equation for the straight line that gives the best fit to the data.

(b) Use the equation for a(t) that you found in part (a) to calculate v(t), the speed of the car as a function of time. Sketch the graph of v versus t. Is this graph a straight line?

(c) Use your result from part (b) to calculate the speed of the car at t = 5.00 s.

(d) Calculate the distance the car travels between t = 0 and t = 5.00 s.