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uzman1243 said:∫70-70e^t dt = ds
70t - 70t*e^t = s
Mr-R said:Looks like you did not integrate [itex]e^{-bt}[/itex] correctly. Check you last eqution. You have something extra there.
Well the constant c is nice . Missing something from [itex]e^{-bt}[/itex] when you intagrated it though.uzman1243 said:∫v0 (1-e^(-b*t))
∫v0 - v0*e^(-b*t)
= v0*t - V0*e^(-b*t) + c
is that correct?
Mr-R said:Well the constant c is nice . Missing something from [itex]e^{-bt}[/itex] when you intagrated it though.
Edit: are you writing b explicitly or just its value? If you just substitute its value there then your integral is correct. (looks like you did not)
uzman1243 said:Can you show me the integration?
Mr-R said:Of course I can, but I know you can do it by yourself so I will give an example.
[itex]∫e^{Cx}dx=\frac{1}{C}e^{Cx}+c[/itex]
Can you see you mistake and fix your integral now?
uzman1243 said:v0*t + (V0*e^(-b*t))/b + c
Yes. That should be it? Now I sub in all the values and find the constant C and my final answer for distance is -1126m. The answer is correct but it should be a positive value.
Is this because my answer is displacement and the question requires distance (just magnitude only)?
The formula for velocity is v = d/t, where v represents velocity, d represents displacement, and t represents time.
To solve for velocity, you need to know the displacement and the time. Then, you can use the formula v = d/t to calculate the velocity.
Displacement is the distance and direction an object moves from its original position. It is a vector quantity and is represented by the symbol d.
Velocity is typically measured in meters per second (m/s) or kilometers per hour (km/h), while displacement is measured in meters (m) or kilometers (km).
Velocity and acceleration are related because acceleration is the rate of change of velocity over time. In other words, acceleration measures how quickly an object's velocity is changing. The formula for acceleration is a = (v2 - v1)/t, where a represents acceleration, v2 represents final velocity, v1 represents initial velocity, and t represents time.