0
Add your answer:
Earn +20 pts
How will the final velocity be greater then the initial velocity?
It doesn't necessarily mean that the final velocity is always greater than the initial, if the initial velocity was at rest or 0 m/s then any form of movement would be greater. In cases where the final is smaller is like running into a wall or a decrease in acceleration.
Why is it important to add the constant of integration immediately when the integration is performed?
When you do an integration, you are (implicitly or explicitly) recognizing that what you are integrating is a "rate of change". Your integration over a particular interval provides you with the answer to the question "what is the total change over this interval?". To get the total value of this quantity you must add the initial amount or value. That is represented by the constant of integration. When you integrate between specific limits and you are asking the question "how much is the total change" the initial value is not needed, and in fact does not appear when you insert the initial and final values of the variable over which you are integrating. So you must distinguish between finding the total change, or finding the final value. Re-reading this, I could have been a bit clearer. I'll give an example. Suppose something is accelerating at a constant acceleration designated by "a". Between the times t1 and t2 the velocity changes by a(t2-t1) which you get by integrating "a" and applying the limits t2 and t1. But the change in velocity is not the same as the velocity itself, which is equal to the initial velocity, "vo", plus the change in velocity a(t2-t1). This shows that the integral between limits just gives the accumulated change. but if you want the final VALUE, you have to add on the initial value. You might see a statement like "the integral of a with respect to time, when a is constant is vo + at ". You can check this by differentiating with respect to t, and you find the constant vo disappears. In summary, the integral evaluated by simply applying the limits gives the accumulated change, but to get the final value you have to add on the pre-existing value, and in this context the pre-existing value also carries the name of "constant of integration".
Continuously compounded interest- solve for interest rate?
r=ln((A/P)^1/t) Where: A is the Final amount P is the Initial amount t is the time passed r is the interest rate
How many solutions does an equation have when the variable adds out and the final sentence is false?
none
How do you find the derivative of a function that has been raised to a power greater than 1?
Let us say that f(x)=x^4A derivative is the opposite to an integral.If you were to integrate x^4, the first process is taking the power [which in this case is 4], multiplying it by any value before the x [which is 1], then subtracting 1 from the initial power [4]. This leaves 4x^3. The final step is taking the integral of what is 'inside' the power [which is (x)], and multiplying this to the entire answer, which results in 4x^3 x 1 = 4x^3If you were to derive (x)^4, you would just add 1 to the power [4] to become (x)^5 then put the value of the power as the denominator and the function as a numerator. This leaves [(x^5)/(5)]To assure that the derivative is correct, integrate it. (x^5) would become 5x^4. Since (x^5) is over (5), [(5x^4)/(5)] cancels the 5 on the numerator and denominator, thus leaving the original function of x^4
What information do you need in order to find a object's acceleration?
To find an object's acceleration, you need its initial velocity, final velocity, and the time it takes to change from the initial velocity to the final velocity. The formula for acceleration is (final velocity - initial velocity) / time elapsed.
How will the final velocity be greater then the initial velocity?
It doesn't necessarily mean that the final velocity is always greater than the initial, if the initial velocity was at rest or 0 m/s then any form of movement would be greater. In cases where the final is smaller is like running into a wall or a decrease in acceleration.
How do you find final Velocity of an object?
The final velocity is (the initial velocity) plus (the acceleration multiplied by the time).
If an object is accelerating what equation relates the distance traveled by that object to the initial velocity final velocity and time?
The equation that relates the distance traveled by a constantly accelerating object to its initial velocity, final velocity, and time is the equation of motion: [ \text{distance} = \frac{1}{2} \times (\text{initial velocity} + \text{final velocity}) \times \text{time} ] This equation assumes constant acceleration.
If an object is accelerating what equation relates the acceleration of that object the initial velocity and the final velocity and time?
The equation that relates acceleration (a), initial velocity (u), final velocity (v), and time (t) for an object under constant acceleration is: v = u + at.
When an object's final velocity is less s acceleration?
When an object's final velocity is less than its initial velocity, it is said to be decelerating or slowing down. This can occur if the acceleration is in the direction opposite to the initial velocity, causing the object to decrease its speed over time.
If the final velocity will be less than initial velocity the object is increasing speed or decreasing speed?
If the final velocity is less than the initial velocity, the object is decreasing speed. The object has slowed down or its speed has decreased compared to when it started.
Formula in getting the acceleration of a moving object?
final velocity-initial velocity --------------------------------- time
How do you calculate an objects acceleration?
Acceleration is an object's change in velocity divided by its change in time. So: acceleration=(final velocity - initial velocity)/(final time - initial time)
How do you find final and initial velocity?
To find the final velocity of an object, you can use the kinematic equation: final velocity = initial velocity + (acceleration * time). If acceleration is constant, you can also use the equation: final velocity = initial velocity + (2 * acceleration * distance). The initial velocity can be found by measuring the velocity of the object at the beginning of its motion using a speedometer or other measuring device.
Which is greater in positive acceleration initial or final velocity?
In positive acceleration, the final velocity is greater than the initial velocity. This is because acceleration is the rate of change of velocity, so as time progresses, the velocity increases due to the acceleration.
What To calculate an object's acceleration you need to know?
To calculate an object's acceleration, you need to know its initial and final velocity, as well as the time taken to change velocity. Acceleration is calculated using the formula acceleration = (final velocity - initial velocity) / time.
