All Calculus 1 Resources
Example Questions
Example Question #281 : Velocity
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #282 : Spatial Calculus
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #283 : Spatial Calculus
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #284 : Spatial Calculus
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #285 : Spatial Calculus
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #281 : Calculus
The position at a certain point is given by:
What is the velocity at ?
In order to find the velocity of a given point, you must first find the derivative of the position function.
In this case, the derivative of the position function is:
Then, find when .
The answer is:
Example Question #287 : Spatial Calculus
The position of a particle is given by the following function:
What is the velocity of the particle at ?
In order to find the velocity of a particle at a certain point, we must first find the derivative.
To find the derivative we must use the power rule which states,
Then find the value of when :
Therefore, the answer is:
Example Question #288 : Spatial Calculus
The position of a particle is given by the following function:
What is the velocity of the particle at ?
In order to find the velocity of a particle at a certain point, we must first find the derivative.
To find the derivative we must use the power rule which states,
Then find the value of when :
Therefore, the answer is:
Example Question #289 : Spatial Calculus
The position of a particle is given by the following function:
What is the velocity of the particle at ?
Undefined
In order to find the velocity of a particle at a certain point, we must first find the derivative.
To find the derivative we must use the trigonometric rules of differentiation for cosine and sine which states,
Thus the derivative becomes:
Then find the value of when :
Therefore, the answer is:
Example Question #281 : Calculus
The position of a particle is given by the following function:
What is the velocity of the particle at ?
In order to find the velocity of a particle at a certain point, we must first find the derivative.
For this particular function we will need to apply the chain rule and power rule which state,
Therefore our derivative becomes,
.
Then find the value of when :
Therefore, the answer is: