# The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 2 t + cos 4 t #. What is the impulse applied to the object at #t= pi /4 #?

There is no impulse at that time.

Since the acceleration is zero, the force applied to this object is zero.

So "impulse" would not really apply to this situation even if the force had not calculated out to be zero.

I hope this helps, Steve

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The impulse applied to the object at ( t = \frac{\pi}{4} ) is ( (-2\sqrt{2}, -4\sqrt{2}) ) N·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.

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- A ball with a mass of # 3 kg# is rolling at #1 m/s# and elastically collides with a resting ball with a mass of #4 kg#. What are the post-collision velocities of the balls?
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