Measurement begins for all cars at the origin (x = 0 m) at time t =0 s. Every 5 seconds, observers record the location of each car along the number line: Car A (a = 1 m/s/s v/=5 m/s) Car A (a = 1 m/5/s v,=10 m/s) time (s) * [m) v (m/s) time (s) v /m/s) 5 10 1 5.5 6 1 10.5 11 2 12 7 2 22 12 19.5 3 34.5 13 4 28 9 4 48 14 5 37.5 10 S 62.5 15 48 11 78 16 7 59.5 12 7 94.5 17 72 13 112 18 9 85.5 14 9 130.5 19 10 100 15 10 150 20Motion with Constant Acceleration. A car is traveling along a straight road with a constant acceleration of 2 m/s/s (for every second of time that passes, the car's speed increases by 2 m/s). The position (m) vs. time (s) of the car as well as speed (m/s) vs time (s) are given in the table below: Car A (a = 2 m/s/s) time (s) v (m/s) 0 5 25 10 10 100 20 15 225 30 20 400 40 25 625 50 30 900 60 35 1225 70 40 1600 80 45 2025 90 50 2500 100 55 3025 110 Procedure 3-Slope of a tangent line to position us. time graph is the velocity at that time. 1. Graph the position, x (vertical axis) vs. time (horizontal axis) of the car. 2. For motion with constant acceleration, the graph of position vs. time is (a straight line, a parabola, random) Circle one. 3. At time t = 10 s, draw a line that is tangent to the parabola, and measure the slope of this tangent line. Speed at t = 10 s (from table) = 20 m/s. Slope of tangent line at t = 10 s (from graph) = 4. At time t = 35 s, draw a line that is tangent to the parabola, and measure the slope of this tangent line. Speed at t = 35 s (from table) = 70 m/s. Slope of tangent line at t = 35 s (from graph) = 5. For motion with constant acceleration, the shape of a position vs. time graph of an object is a parabola. The slope of a tangent line at a time = t is the object's (position, velocity, acceleration) (Circle one) at that time