The distance vs. time graph of a car moving at constant speed should be a straight line. Why do the data points in the graph plo
1 answer:
You might be interested in
Answer:
y = 12,000x + 40,000
Explanation:
A linear relationship that would model the mileage of the car in this example is:
where
y is the number of miles
x is the number of years
m is the number of miles driven per year
q is the number of miles already in the car at x=0
In this problem, we have
m = 12,000 (number of miles driven per year)
q = 40,000 (number of miles already in the car at x=0)
So substituting into the equation we get
Answer:
K = 13.276 GJ
Explanation:
Given:
Mass of the aircraft (m) = 98,000 metric ton
Speed of the aircraft (v) = 32 knots
Kinetic energy of the aircraft (K) = ?
We know that,
1 metric ton = 1000 kg
∴ 98,000 metric ton = 98,000 × 1000 = 9.8 × 10⁷ kg
Also, 1 knot = 1 nautical mile per hour
So, 32 knots = 32 nautical miles per hour
Converting nautical miles per hour to meter per second using the following conversions, we get:
1 nautical mile = 1852 m
1 hour = 3600 s
Therefore, 1 nautical mile per hour =
So, 32 nautical miles per hour =
Therefore, the mass and speed of the aircraft are:
Now, kinetic energy is given as:
Plug in the above values and solve for 'K'. This gives,
Now, we know that, 1 GJ = 10⁹ J
Therefore, the value of 'K' in terms of GJ is given as:
K = 13.276 GJ