Speed (m/s) لہ 2 3 10 100 Time (seconds) NOT TO SCALE 130 The speed-time graph shows information about the journey of a tram between two stations. (a) Calculate the distance between the two stations. DISTANCE = AREA UNDER CURVE A₁ = ±64 = ± (10) (20) = 100 A₂ = 422 (100-10)(20) = 1800 A₂ = bh=₤ (180-100) (20) = 300 DISTANCE = A + A2 + A3 = 100 + 1800+ 300 = 2200 2200

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

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(1) Table 1 gives the displacement of a vehicle from the starting position. Give the average rate of change in displacement between 2 and 6 hours. Time (hours) Displacement (km) TABLE 1 0 2 4 0 100 6 8 10 350 500 660 700

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Number 75 what does it mean when S varies DIRECTLY?

According to Newton′s Law of Cooling, the rate of change of an object's temperature is proportional to the difference between the temperature of the the object and that of the surrounding medium. The accompanying figure shows the graph of the temperature T (in degrees Fahrenheit) versus time t (in minutes) for a cup of coffee, with initial temperature 200 degrees Fahrenheit, that is allowed to cool in a room with a constant temperature of 75 degrees Fahrenheit.

When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's