Calculus
posted by Caitlin .
How to integrate with position, velocity and accelleration

The integral of acceleration is velocity.
The integral of velcotiy is position.
All three are vectors, so the integration has to be peformed in three different perpendicular dimensions, in general.
Unless you have a specific example in mind, there is not much more I can say. 
well i have this homework question that says:
A rock is dropped from the top of a 300ft cliff. It's velocity at time t seconds is v(t0= 32 t feet per second.
a.) Find the height of the rock above the ground at time t.
b.) How long will the rock take to reach the ground?
c.) What will be the velocity when it hits the ground?
That is the problem I am working with tonight.
Respond to this Question
Similar Questions

Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^24x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx 
calculus
1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary … 
Calculus
How do you integrate [(x^2)(cos(2(x^3)))]? 
Calculus AB
Please help me integrate this equation using partial fractions: Integrate [(x^2+5)/(x^3x^2+x+3)]dx. Thank you very much. 
Calculus
6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b = 1/2with ? 
calculus 2
Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a<=x<=b then integrate from … 
Science
A car went from a stop position to 50 km/hr in 5 seconds. What is the accelleration? 
Calculus
An object with an initial position of x(0) = 3 has a velocity of v(t) =sin(t). Find its position at t =2. 
Dynamics
A particle moving along a straight line is subjected to a deceleration a=2v^3 m/s2. If it has a velocity v=8 m/s and a position x=10 m when t=0, determine its velocity and position when t=4s. I tried to integrate the deceleration … 
calculus
The position function for a particular object is s = â€“23t^2 + 65. Which of the following statements is true?