4) One of the most common uses of rate of change is speed. What does the speedom

Question

4) One of the most common uses of rate of change is speed. What does the speedometer in your car measure? , The opeed my car. 5) A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate ofchange? 10p 5rt/h A scúba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba divers rate of change? 6) (O, 30) -100-30- : er 2.3 Ft/sec 40

Explanation / Answer

4) speedometer tells the distance travelled per unit time (speed) of the car.

5) after t1= 2hrs, climber reached d1= 400 ft.

So speed v1 = 400/2 = 200 ft/hrs.

Slly after t2= 6hrs climber reached d2= 700 ft.

So speed V2= (d2–d1)/(t2–t1)= 700–400/6–2= 300/4= 75ft/hrs

So average rate of change= (v1+v2)/2= 275/2=137.5ft/hrs

6) slly for scuba driver, t1=10sec, d1=30ft.

t2=40sec, d2= 100ft

Speed v1= d1/t1= 30/10=3 ft/sec

V2=(d2–d1)/(t2–t1)=70/30=2.33ft/sec

Average rate of change =v1+V2/2= 3+2.33/2= 5.33/2= 2.666ft/sec.

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