How Do You Calculate Acceleration at t = 1/1.1 sec from the Given Equation R(t)?

AI Thread Summary
To calculate acceleration at t = 1/1.1 seconds from the equation R(t) = 8.4sin(at) + (3.1e^(-7t)) + 6.9t^3, first differentiate R(t) to find velocity, then differentiate the velocity function to obtain acceleration. Ensure that the sine function is calculated in radian mode when using a calculator. The time specified as 1/1.1 seconds is unconventional but can be interpreted as approximately 0.909 seconds. The process involves substituting this time into the derived acceleration equation. Understanding these steps is crucial for solving the problem accurately.
mike32
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Homework Statement


All numerical constants are in the appropriate units, so that R (t) in units of meters, and a = 3.1 sec-1.

What is acceleration size (in meters per second ^ 2) t = 1 / 1.1 sec?

Note: When calculating sin (at), make sure the computer is in radian mode.

Homework Equations


R(t)= 8.4sin(at) +(3.1e^(-7t)) +6.9t^3

The Attempt at a Solution


Couldn't get to a solution
 
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Please try to explain this problem more clearly . Post the complete original wording of the problem as given to you if possible
 
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R (t) in meters and a= 3.1 sec^-1

What is its acceleration (m/s^2) in t = 1 / 1.1 seconds?
 
mike32 said:
What is its acceleration
How do you go from an expression for position to one for acceleration?
mike32 said:
t = 1 / 1.1 seconds?
Do you mean literally ##\frac {1}{1.1}## seconds? That is a very odd way to specify the time.
 
Last edited:
ok. but this is data in question.
 
mike32 said:
ok. but this is data in question.
Ok, so answer my first question.
 
Have to cut twice the equation and put t
 
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