Is the density of an object constant?
1 answer:
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Let's see what variables we've got first. Hmmm. We have:
Displacement, d = 28 m
Time taken, t = 11 s
Initial velocity, u = 0 m/s (at rest)
And now we need to find the final velocity, v. Among the 4 (or 5) equations of motions, there's no equation that will let us simply plug in the values and give an answer sigh. But fear not! We'll do it in steps.
I'm going to pick one of the motion equation to find more information:
I know everything except for a in this one, so I I'll use this! After plugging in values, I get a = 0.4628 m/s^2.
Now I'm going to use another motion equation that has v in it because that needs to be solved!
Now I know everything except dial velocity v. Nice!
v = 0 + (0.4628)(11)
Displacement, d = 28 m
Time taken, t = 11 s
Initial velocity, u = 0 m/s (at rest)
And now we need to find the final velocity, v. Among the 4 (or 5) equations of motions, there's no equation that will let us simply plug in the values and give an answer sigh. But fear not! We'll do it in steps.
I'm going to pick one of the motion equation to find more information:
I know everything except for a in this one, so I I'll use this! After plugging in values, I get a = 0.4628 m/s^2.
Now I'm going to use another motion equation that has v in it because that needs to be solved!
Now I know everything except dial velocity v. Nice!
v = 0 + (0.4628)(11)
Answer:
The probability is 0.2212
Solution:
As per the question:
Poisson rate,
Now,
Let
X: time of waiting for the next vehicle on the highway
Now,
To find the probability of the next vehicle to arrive after 10 s
The probability distribution function is given by:
Now,
P(X < x) =
For X> 0,
P(X > x) =
P(X < 5) =