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Equations of Kinematics in two Dimensions & Projectile Velocity

A rock climber throws a small first aid kit to another climber who is higher up the mountain. The initial velocity of the kit is 13 m/s at an angle of 59° above the horizontal. At the instant when the kit is caught, it is traveling horizontally, so its vertical speed is zero. What is the vertical height between the two climbers?

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  • 3213sm Feb 18, 2009

    A rock climber throws a small first aid kit to another climber who is higher up the mountain. The initial velocity of the kit is 22 m/s at an angle of 52° above the horizontal. At the instant when the kit is caught, it is traveling horizontally, so its vertical speed is zero. What is the vertical height between the two climbers?

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This is for educational use only-hacking any software/hardware is by definition illegal. so long as you are aware of this. Hello there, google these words so that you are pointed in the right direction-----dvd+jon+iphone

Posted on Nov 27, 2008

  • Edward easley
    Edward easley Nov 27, 2008

    sorry about that, wrong question

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If two balls of different masses are thrown vertically upwards with same initial speed then which one rises to a greater height?


This the problem of a projectile motion.
Assume the positive direction of the vertical axis is upward.
Let y_0 be the initial height, which we set=0.
Let v_0 be the initial velocity, a the acceleration, t the time, y the position at instant t, v the vertical velocity.
a=-g
v=v_0-gt
y=v_0*t-(1/2)*(g*t^2)
At what time is the highest point reached?
At the culmination point (highest point) the speed passes through the value 0. This happens at the time t_c given by
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y_c=v_0*t_c-(1/2)g*(t_c)^2
this gives y_c=(1/2*g)*(v_0)^2
As you can see the mass does not appear anywhere in this problem. Both masses will reach the same height.

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Home made first aid kit you can take with you anywhere


You never know when you might need a first aid kit and having one that is small enough to fit in your pocket or a small bag never hurts. I travel with an Altoids tin full of essential first aid supplies. Take a few band-aids of various different sizes, gauze, an air tight plastic bag of Q-tips and cotton balls, sterile alcohol wipes, water proof tape and a small retractable knife. Fold them all up, snap the lid of the tin and you are ready for most daily first aid needs. If you have the space you an fit in some pain medication like Tylenol pills and some allergy medication.

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P.S. This is a "trick" question -- when a human-body strikes the hard ground, it will lose (not "loose") 100% of its velocity.

When a human-body contacts something fluid, such as water, then it's possible that it will lose 25% or 50% or 75% of its velocity, and continue to dive _below_ the surface of the water.

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