# A projectile is shot from the ground at a velocity of #45 m/s# and at an angle of #(2pi)/3#. How long will it take for the projectile to land?

The projectile will land after approximately 9.18 seconds.

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The total flight time of the projectile is

Assuming the launch and landing points are at equal altitudes, we can use a kinematic equation to determine the flight time from the launch of the projectile to its maximum altitude (

We know that when an object is in free fall, the acceleration is equal to

Because the projectile is launched at an angle, we will need to break the velocity up into components. This can be done using basic trigonometry.

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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 is thrown vertically from a height of #2 m# at #6 m/s#. How long will it take for the object to hit the ground?
- An object's two dimensional velocity is given by #v(t) = ( 5t-t^3 , 4t^2-t)#. What is the object's rate and direction of acceleration at #t=4 #?
- If a projectile is shot at an angle of #pi/2# and at a velocity of #13 m/s#, when will it reach its maximum height??
- An object travels North at #8# #ms^-1# for #9# #s# and then travels South at #5# #ms^-1# for #3# #s#. What are the object's average speed and velocity?
- What is the mass of an object that needs a force of 6600 N to increase its speed from rest to 107 m/s in 2.3 seconds?

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