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# Projectile Motion

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A spear is thrown upward from a cliff 48 m above the ground. Given an initial speed of 24 m/s at an angle of 30Âº to the horizontal,
a. how long is the spear in flight?
b. what is the magnitude and direction of the spear's velocity just before it hits the ground?

https://brainmass.com/physics/velocity/physics-projectile-motion-spear-flight-362421

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A spear is thrown upward from a cliff 48 m above the ground. Given an initial speed of 24 m/s at an angle of 30Ã‚Âº to the horizontal,
a. how long is the spear in flight?

Solution: The Initial vertical velocity of the spear is:

The time the spear will rise at the peak of the projectile is:

The peak height of the spear with reference from the cliff is:

The time of the fall of the spear to the ground below the cliff is:

The total time of flight of the spear is:

b. what is the magnitude and direction of the spear's velocity just before it hits the ground?

Solution: The final vertical velocity is:

The horizontal velocity is constant all throughout. So we have:

The final velocity is:

The direction from the horizontal is:

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!