Dan's velocity is miles per min at 7.5 minutes.At what other time is Dans velocity .25 miles per minute
I guess you mean he had some speed S at 7.5 min and forgot to type it
Did he start at zero speed at 0 time and accelerate constantly?
if so then
v = a t
at 7.5
S = 7.5 a
so a = S/7.5
at time t, v = .25
so
.25 = a t
or
.25= (S/7.5) t
so
t = 7.5 * .25 / S
that will be in minutes of course, multiply by 60 for seconds
correction
Dan's velocity is .25 miles per min at 7.5 minutes.At what other time is Dans velocity .25 miles per minute
Well I have no idea what sort of velocity versus time curve Dan is following.
To find the other time at which Dan's velocity is 0.25 miles per minute, we can use the formula:
Time = distance / velocity
Given that Dan's velocity is 1 mile per minute and the time is 7.5 minutes, we can substitute these values into the formula:
Time = 1 mile / 1 mile per minute = 7.5 minutes
Now we can find the other time using the same formula but with a different velocity:
Time = distance / velocity
Substituting in the values we know:
0.25 miles per minute = distance / velocity
We are trying to find the other time, so we can call it "x" minutes:
0.25 miles per minute = distance / x
To solve for "x", we need to find the distance traveled during this time. Since the velocity is constant, we can set up the equation:
1 mile per minute = distance / 7.5 minutes
Solving for distance:
distance = 1 mile per minute * 7.5 minutes = 7.5 miles
Now we can substitute the distance into the equation:
0.25 miles per minute = 7.5 miles / x
To find "x", we can rearrange the equation:
x = 7.5 miles / 0.25 miles per minute
Simplifying:
x = 30 minutes
Therefore, at 30 minutes, Dan's velocity will be 0.25 miles per minute.