What is the average speed of an object that is moving at #22 m/s# at #t=0# and accelerates at a rate of #a(t) =t-2# on #t in [0,2]#?
Since average speed is given by the equation
The velocity equation for the object is
And the position equation with respect to time is
Which, after simplifying, yields
Lastly, let's calculate the average velocity, using our first equation:
Rounded to two significant figures.
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The average speed is 25 m/s.
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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.
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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- A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 32 ft/s2. What is the distance covered before the car comes to a stop? (Round your answer to one decimal place.)?
- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 64KJ# over #t in [0,12s]#. What is the average speed of the object?
- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #84 KJ# to # 12 KJ# over #t in [0, 6 s]#. What is the average speed of the object?
- An object travels North at # 3 m/s# for #6 s# and then travels South at # 2 m/s# for # 4 s#. What are the object's average speed and velocity?

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