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14 Mar 2018

(b) [3 marks) A car is traveling along a straight line. At 2:00 pm the car's speedometer reads 30 km/h. At 2:10 pm it reads 50 km/h. Show that at some time between 2:00 and 2:10 the acceleration was exactly 120 km/h?.

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Jarrod Robel
Jarrod RobelLv2
15 Mar 2018
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Related questions

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At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?

(a) What quantities are given in the problem?

(b) What is the unknown?

(c) Draw a picture of the situation for any time t.

(d) Write an equation that relate the quantities.

(e) Finish solving the problem

It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with all-season tires traveling at 90 km/hr, the mean stopping time in fresh snow is known to be 215 meters with a standard deviation of o = 2.5 meters. It is often advocated that automobiles in such areas should be equipped with special tires to compensate for such conditions, especially with respect to stopping distance. A manufacturer of tires made for driving in fresh snow claims that vehicles equipped with their tires have a decreased stopping distance. A study was done using a random sample of 9 snow tires from the manufacturer on a snow-covered test track. The tests resulted in a mean stopping distance of t = 212.9 meters. 30. What are the appropriate null and alternative hypotheses to test the manufacturer's claim? A) Ho:u=215 against H.: 4 > 215 B) Ho:u=215 against H:7215 C) Ho: u=215 against H: 4 <215 D) H: X = 215 against H: X <215 E) Snow tires decrease the stopping distance in loose snow.

A ship is moving at a speed of 30 kmph parallel to a straight shoreline. The ship is 6 km from shore and it passes a lighthouse at noon.

(a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon; that is, find f so that .

(b) Express d as a function of t, the time elapsed since noon;

that is, find g so that

(c) Find . What does this function represent?

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