A group of students is attempting to determine the average acceleration of a marble released from the top of a long ramp. Below is a set of data representing the marble's position with respect to time. Position (cm) Time (s) 0.0 0.0 0.1 0.5 0.6 1.0 1.7 1.5 3.2 2.0 4.5 2.5 6.7 3.0 Use the data table above to construct a graph determining the acceleration of the marble. Select a set of data points from the table and plot those points on the graph. Label the axes and indicate the scale for each. Draw a best-fit line or curve through your data points. (Select the graph which would best help you determine the marble's acceleration.) x(cm) x (cm) x (cm) 3.0 2.5 2.0 1.5 1.0 0.5 t (s) 1 2 3 4 5 6 40 30 20 10 7t 6 5 4 3 2 1 t (s) 0.5 1.0 1.5 2.0 2.5 3.0 t (s) 2 4 6 8 x (cm) 9 5 4 3 2 1 t(s) 0.5 1.0 1.5 2.0 2.5 3.0 Using the best-fit line, determine the value of the marble's acceleration (in cm/s). 0.74 cm/s Assume air resistance is negligible unless otherwise stated. A coin is dropped from a hot-air balloon that is 280 m above the ground and rising at 11.0 m/s upward. For the coin, find the following. (a) the maximum height (in m) reached 286.173 m (b) its position and velocity (in m and m/s, respectively) 4.50 s after being released (Assume that the +x-axis is to the right and the +y-axis is up along the page. Indicate the direction with the sign of your answer.) y = V = m m/s (c) the time (in s) before it hits the ground 8.764 S