How has the theory of the Universe changed over time?
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The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
Now,
When function p(t) = 11 , t will be
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity =
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
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The magnitude of force exerted on the woman by the floor when the lift is accelerating is 150 Newton.
<u>Given the following data:</u>
- Mass of woman = 60 kg.
- Acceleration = 2.5
To calculate the force exerted on the woman by the floor when the lift is accelerating, we would apply Newton's Second Law of Motion:
<h3>Newton's Second Law of Motion.</h3>Mathematically, Newton's Second Law of Motion is given by this formula;
Substituting the given parameters into the formula, we have;
Force = 150 Newton.
Read more on force here: brainly.com/question/1121817