A student does an experiment where she allows a ball to roll down a ramp: The student releases the ball from different positions on the ramp, so that it rolls different distances (dj, d2, dy etc). The student measures the time () taken for the ball to reach the bottom of the ramp for each distance. The student expects that this equation of motion will be relevant: d = at2 where a is the acceleration of the ball down the ramp. a. What is the independent variable in this investigation? (1) b. Give one controlled variable. (1) c. Write an aim for this experiment. (2) d. In one instance, the stopwatch reads 2.03 s. Find the measurement associated with this reading, in the form m + u(m) where u(m) is the standard uncertainty. (2) e. Are the following two measurements in agreement? 1.569 + 0.002 m 1.572 + 0.002 m (1)f. The student plots a graph of the results, with / on the y-axis: What variable should the student plot on the x-axis in order to obtain a straight line graph, if this equation is valid for the experiment: d = =at? ? (1) g. LinearFit gives the gradient of the straight line graph obtained as 1.23 + 0.16. Use this to calculate the acceleration of the ball, including the standard uncertainty. (4)