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1 answer:
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Answer:
k = 12
Step-by-step explanation:
Given in the question,
Cost of the the movie tickets is proportional to the number of tickets sold.
Cost of movie tickets (C) ∝ number of tickets sold (T)
C ∝ T
C = kT
Here 'k' is a proportionality constant.
Since, line given in the graph passes through a point (5, 60)
60 = k(5)
k =
k = 12
Therefore, value of proportionality constant is 12.
The distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.
We have,
Acceleration of plane i.e. a = 12 m/s²
And,
Velocity of plane i.e. v = 100 m/s
And,
t₁ = 2s
t₂ = 5s
t₃ = 10s
So,
Now,
Using the equation of motion,
i.e.
S = vt - at²
Here,
S = Distance,
v = initial velocity,
a = acceleration
t = time taken
Now,
For t₁ = 2s,
Putting values in above equation we get,
S = (100 * 2) - ( * 12 * 2²)
On solving we get,
S = 200 - 24 = 176 m,
So,
Plane will be at 176m distance.
Now,
For t₂ = 5s,
Putting values in above equation we get,
S = (100 * 5) - ( * 12 * 5²)
On solving we get,
S = 500 - 150 = 350 m,
So,
Plane will be at 350m distance.
Now,
For t₃ = 10s,
Putting values in above equation we get,
S = (100 * 10) - ( * 12 * 10²)
On solving we get,
S = 1000 - 600 = 400 m,
So,
Plane will be at 400m distance.
Hence, we can say that the distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.
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