An 85-kg ball-bearing slides down a smooth, curvy track. Its velocity changes with time according to the data table above. In the analysis below, assume that the friction on the ramp is negligible. Time (s) Velocity (m/s) Time (s) Velocity (m/s) 0.00 0.000 0.40 2.04 0.05 0.044 0.45 2.30 0.10 0.173 0.50 2.53 0.15 0.384 0.55 2.73 0.20 0.671 0.60 2.88 0.25 1.02 0.65 2.98 0.30 1.39 0.70 3.05 0.35 1.73 0.75 3.07 6. Calculate the average acceleration of the ball in the 0.30-second to 0.35- second time interval. Also, use calculations to estimate the angle the ramp makes to the horizontal in that time interval. 7. Sketch the shape of the curvy ramp and explain your sketch with words or calculations. 8. Use energy analysis to calculate the vertical height of the track. 9. If the mass of the ball is doubled and the ball is released from the same position on the same track, by what factor would the final velocity change? Explain your reasoning with words and/or calculations.