chrisdude112
Jan27-08, 01:24 PM
1. The problem statement, all variables and given/known data
A Particle Moves along the x-axis so that its velocity v at time t \geq 0 is given by v(t)=Sin(x^{2}). The Graph of V is shown above for 0 \geq t \geq \sqrt{5\pi}. The Position of the particle at time t is x(t) and its position at time t=0 is x(0)=5
2. Relevant equations
Find the total Distance traveled b the particle from time t=0 to t=3.
3. The attempt at a solution
1. The problem statement, all variables and given/known data
We just started on integration so i figured we would need find the displacement equation by integrating the velocity equation, which would be finding:
\int Sin(x^{2} dt [0,3]. From here i have no idea how to do the equation since we're only 2 weeks into integration and have barely touched \mu Substitution
A Particle Moves along the x-axis so that its velocity v at time t \geq 0 is given by v(t)=Sin(x^{2}). The Graph of V is shown above for 0 \geq t \geq \sqrt{5\pi}. The Position of the particle at time t is x(t) and its position at time t=0 is x(0)=5
2. Relevant equations
Find the total Distance traveled b the particle from time t=0 to t=3.
3. The attempt at a solution
1. The problem statement, all variables and given/known data
We just started on integration so i figured we would need find the displacement equation by integrating the velocity equation, which would be finding:
\int Sin(x^{2} dt [0,3]. From here i have no idea how to do the equation since we're only 2 weeks into integration and have barely touched \mu Substitution