the amount of gasoline used by a car varies jointly as the distance traveled and square root of the speed. suppose a car used 25 liters on a 100 km trip at 1000 kph. about how many liters will it use on a 1000km trip at 64 kph?
Answer:
To find out the amount of gasoline used by a car on a 1000 km trip at 64 kph, we need to use the formula that relates the distance traveled, speed, and the amount of gasoline used.
Given the formula: V = kd^(1/2)
Where V is the amount of gasoline used, k is a constant of proportionality, and d is the distance traveled.
Since we know that the car used 25 liters on a 100 km trip at 1000 kph, we can use this information to find the value of k.
25 = k * 100^(1/2) * 1000^(1/2)
Solving for k:
k = 25 / (100 * 1000)^(1/2)
Now that we have the value of k, we can use it to find the amount of gasoline used on a 1000 km trip at 64 kph.
V = k * 1000 * 64^(1/2)
V = k * 1000 * 8
V = 25 * 1000 * 8 / (100 * 1000)^(1/2)
V = 200 liters
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