The position of an object moving along a line is given by #p(t) = 2t^3 - 2t^2 +1#. What is the speed of the object at #t = 4 #?
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The speed of the object at t = 4 is 50 units per time.
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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.
- An object travels North at #6 m/s# for #3 s# and then travels South at #7 m/s# for # 5 s#. What are the object's average speed and velocity?
- An object is at rest at #(2 ,1 ,5 )# and constantly accelerates at a rate of #7/6 m/s# as it moves to point B. If point B is at #(6 ,3 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- How would you rework this equation #v_f^2= v_i^2 - 2*a*d# so that it solves for #a#?
- An object's two dimensional velocity is given by #v(t) = ( t-2 , 5t^2-3t)#. What is the object's rate and direction of acceleration at #t=2 #?
- An object is at rest at #(2 ,4 ,1 )# and constantly accelerates at a rate of #4/5# # ms^-1# as it moves to point B. If point B is at #(6 ,6 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
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