Activity 1 The fan speed on our cart is adjustable. In this activity the fan speed will be on medium to give the cart a continual push down the track to the right. We start by holding the cart still and then releasing it from rest. Prediction 1-1: Describe briefly what you think the position, velocity, and acceleration graphs will look like for the motion of the cart. Figure 1: Speeding Up Question 1-1 (2 points): How does your position graph (red) differ from the position graphs for steady motion (constant velocity) that we have seen in the first lab? Question 1-2 (2 points): What feature of this velocity graph (green) signifies that the motion was away from the sensor? Question 1-3 (2 points): What feature of your velocity graph signifies that the cart was speeding up? How would a graph of motion with constant velocity differ? Question 1-4 (2 points): During the time that the cart is speeding up (which is from about 0.4s to about 2.6s) is the acceleration positive or negative? How does speeding up while moving away from the detector result in this sign of acceleration? (Hint: Remember that acceleration is the rate of change of velocity. Look at how the velocity is changing. It takes two points on the velocity-time graph to calculate the rate of change of velocity.) Question 1-5 (2 points): How does the velocity vary in time as the cart speeds up? Does It increase at a steady (constant) rate or in some other way? Question 1-6 (2 points): How does the acceleration vary in time as the cart speeds up? Is this what you expect based on the velocity graph? Explain. (You can ignore a dip occurred at about 1.7s in the acceleration graph.)