# How do you find a vehicle's velocity and acceleration in 1 second if an automobile's velocity starting from rest is #v(t)= 90/4t+10# where v is measured in feet per second?

Calculus is not necessary for that; common sense will do.

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To find the vehicle's velocity and acceleration in 1 second:

- Substitute t = 1 into the equation v(t) = 90/(4t) + 10 to find the velocity at t = 1 second.
- Differentiate the velocity function v(t) with respect to time to find the acceleration function a(t).
- Substitute t = 1 into the acceleration function to find the acceleration at t = 1 second.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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