Calculus 1 : How to find velocity
Study concepts, example questions & explanations for Calculus 1
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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 
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 
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 
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
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 
The answer is:
Example Question #286 : 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 
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 
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 
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 
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 
Therefore, the answer is:
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