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?

Answer 1

Emily Abbate

The projectile will land after approximately 9.18 seconds.

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Answer 2

Isabella Alvarez

The total flight time of the projectile is #~~8.0s#

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 (#v_f=0#) and multiply by two to get the total flight time.

#v_f=v_i+a_yDeltat#

#=> Deltat=(v_f-v_i)/a_y#

#=>Deltat=(-v_i)/a_y#

We know that when an object is in free fall, the acceleration is equal to #-9.8m/s^2# (vertically).

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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Answer from HIX Tutor

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.