What is the first step you should take when solving a motion problem using kinematic equations?
Identify and list the equation that will be used to determine unknown information from known information. Substitute known values into the equation and use appropriate algebraic steps to solve for the unknown information. Check your answer to insure that it is reasonable and mathematically correct.
How do you solve initial velocity problems?
If you are given the final velocity, acceleration, and distance, you can use the following equation:
- Initial velocity: Vi = √ [Vf2 – (2 * a * d)]
- Understand what each symbol stands for. Vi stands for “initial velocity” Vf stands for “final velocity” a stands for “acceleration” d stands for “distance”
How do you find initial acceleration with velocity and time?
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.
What is the last thing you should do when solving a problem explain?
The last thing that required to do when one solves the problem is to check the answer if it is reasonable or not.
How do you find initial velocity on a graph?
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates for these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
How do you solve a differential equation with a given initial value?
So this is a separable differential equation with a given initial value. To start off, gather all of the like variables on separate sides. Then taking the square root to solve for y, we get: If is some constant and the initial value of the function, is six, determine the equation.
How do you solve a separable differential equation?
First identify what is known. From here, substitute in the initial values into the function and solve for . Finally, substitute the value found for into the original equation. So this is a separable differential equation, but it is also subject to an initial condition.
What is the initial value of y(0) in mathematical terms?
Explanation: First identify what is known. The general function is, \\displaystyle y=ce^x. The initial value is six in mathematical terms is, \\displaystyle y (0)=6. From here, substitute in the initial values into the function and solve for. \\displaystyle c. .