Answer:
It takes 3 minutes.
Explanation:
The distance between the two subways is 3 miles.
The train travels at an average speed of 60mph (miles per hour).
We have to convert hours to minutes and we do that by cancelling out the hours and replacing it with minutes.
There are 60 minutes in an hour so we use that, 1 hour/60 minutes and multiply it to the existing speed we have.
The result is 1 mile per minute.
We then multiply the miles by 3 since that is how much we want and we get 3 minutes.
Answer:
2(maximum), -2(minimum), -2(maximum).
Explanation:
V(t)= 2πcos πt--------------------------------------------------------------------------------(1).
Therefore, there is a need to integrate v(t) to get S(t).
S(t)= 2×sinπt + C ------------------------------------------------------------------------------(2).
Applying the condition given, we have s(0)= 0.
S(0)= 2sin ×π(0) + C.
Which means that; 0+C= 0. That is; C=0.
S(t)= 2 sin πt.
The mass moves to its highest positions at time,t=half(1/2=.5) and time,t=2.5.
Take note that; sin(π/2) = sin(5π/2) = 1 .
Also, the mass moves to its lowest position at time,t=(3/2); also, sin(3π/2) = -1.
Therefore, we have that 2 maximum; -2 minimum and -2 maximum.
