<p>Tom the cat is chasing Jerry the mouse across<br />a table surface 1.8 m off

Question

<p>Tom the cat is chasing Jerry the mouse across<br />a table surface 1.8 m off the floor. Jerry steps<br />out of the way at the last second, and Tom<br />slides off the edge of the table at a speed of<br />5.2 m/s.<br />Where will Tom strike the floor? The acceleration of gravity is 9.8 m/s2 .<br />Answer in units of m.<br /><br />What speed will Tom have just before he hits?<br />Answer in units of m/s.<br /><br />I don't get how you find the Vertical and Horizontal motion...<br />My teacher is using modeling and i just don't get it</p>

Explanation / Answer

Given Height , h = 1.8 m Horizontal component of initial velocity , vxo = 5.2 m/s Vertical component of initial velocity is 0 m/s The time taken to travel is -1.8 m = (vyosin ) t - 1/2 gt^2 -1.8 m = 0 - 4.9 t^2 t = 0.6 s -------------------------------------------------------------- The final vertical component of velocity is vy = - gt = -9.8 m/s^2 * 0.6 s vy = -5.88 m/s Final Horizontal component of velocity is vx = 5.2 m/s Magnitude of final velocity , v = (5.2 m/s)^2+(-5.88 m/s)^2                                            v = 7.85 m/s

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