If an object is moving at #4 m/s# and accelerates to #6 m/s# over 3 seconds, what was the object's rate of acceleration?
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The object's rate of acceleration is ( \frac{2}{3} ) m/s².
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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.
- What is the average speed of an object that is moving at #3 m/s# at #t=0# and accelerates at a rate of #a(t) =t-1# on #t in [0,2]#?
- If a projectile is shot at an angle of #pi/2# and at a velocity of #17 m/s#, when will it reach its maximum height??
- A #15# #kg# block of steel is at rest on a smooth, horizontal, icy surface. What net force must applied to the block so that it accelerates at #0.6##m##/##s^2#?
- An object is at rest at #(7 ,4 ,2 )# and constantly accelerates at a rate of #4/3 m/s# as it moves to point B. If point B is at #(3 ,1 ,9 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- ¤While jumping for a bird your cat falls off your apartment building 45 meters high (but lands in a soft pile of marshmallows of course). ¤1) How long did it take to fall? ¤2) How fast is he going when he reaches the bottom?
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