1. A lab was finding the velocity of a cart rolling down a track at different angles. The cart was connected to an accelerometer and an optimal encoder. By integrating and differentiating respectively, the velocity can be determined. Please answer and discuss the following questions from Part 1.

a) Compare the accelerometer incline values to the angle indicator.

b) Discuss the effect of the sampling rate on the measurements of the counts and the acceleration.

c) When a cart is accelerated under constant force, what acceleration, velocity and position profile would you expect? Based on your understanding of physics, is there an upper limit on the acceleration and velocity this system can achieve? What physical factors prevent this upper limit from ever being reached?

d) Identify any issues associated with the approach of calculating velocity from position which is measured through the shaft encoder.