# If a projectile is shot at an angle of #(5pi)/12# and at a velocity of #1 m/s#, when will it reach its maximum height?

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The projectile will reach its maximum height halfway through its flight time. Given the initial velocity and launch angle, you can calculate the total flight time using the formula: ( t = \frac{2v_0 \sin(\theta)}{g} ), where ( v_0 ) is the initial velocity, ( \theta ) is the launch angle, and ( g ) is the acceleration due to gravity. Then, the time to reach maximum height will be half of the total flight 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.

- An object's two dimensional velocity is given by #v(t) = ( 1/t, t^2)#. What is the object's rate and direction of acceleration at #t=6 #?
- What is the speed of an object that travels from #( 7,-8,1) # to #( -1,4,-2 ) # over #2 s#?
- An object's two dimensional velocity is given by #v(t) = (3t-sqrtt , 2t-4 )#. What is the object's rate and direction of acceleration at #t=a #?
- What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =3t-4# from #t in [2, 3]#?
- A projectile is shot from the ground at a velocity of #9 m/s# at an angle of #pi/3#. How long will it take for the projectile to land?

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