3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-

Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second hand is 15cm long. Use t=0 to represent the moment the second hand begins it's cycle at the top of the clock, and let y(t) represent the vertical distance above the center of the clock when t is in seconds. Graph the function, explaining how the values of A,B,C,D each give information about the graph of the function.

carrie wants to find out how the area of a circle will change as the raduis increases in the area as the raduis changes from 2.5 to 5.5 feet length, carrie makes a table. What is the average rate of change in the area as the raduis changes from 2.5 to 5.5

The altitude of a plane is a function of the time since takeoff. Identify the A. time B. speed C. altitude D. acceleration

Convert ( 4, to Cartesian coordinates. Give exact answers (no decimals or trig functions).

Solve the problem. The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 60 seconds are required to make a 3-inch by 4-inch enlargement, find the time required for a 6-inch by 9-inch enlargement.