Did you know?
Did you know that the function 𝑠 = 5𝑡² + 3𝑡 + 7 can be used to find the position of a body moving on a coordinate line? By plugging in a value for t between 0 and 2, you can calculate the position of the body in meters. But what about the body's speed and acceleration? To find the body's speed at the end of the time interval, you can calculate the derivative of the function with respect to t. And to find the body's acceleration, you can calculate the derivative of the speed function. These mathematical calculations can provide valuable information about the body's motion and trajectory.
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