<p>A spring cannon is located at the edge of a table that is 1.80 m above the fl

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<p>A spring cannon is located at the edge of a table that is 1.80 m above the floor. A steel ball is launched from the cannon with speed vi at 30.0&#176; above the horizontal.<br />(a) Find the horizontal position of the ball as a function of vi at the instant it lands on the floor. We write this function as x(vi). (Use 9.80 m/s2 instead of g and round any coefficients to 3 significant figures to avoid rounding error in the following parts.)<br />x(vi) = <br /><br />(b) Evaluate x for vi = 0.400 m/s.<br /> m<br /><br />(c) Evaluate x for vi = 140 m/s.<br /> m<br /><br />(d) Assume vi is close to but not equal to zero. Show that one term in the answer to part (a) dominates so that the function x(vi) reduces to a simpler form.<br />x(vi) = <br /><br />(e) If vi is very large, what is the approximate form of x(vi)?<br />x(vi) = <br /><br />(f) Describe the overall shape of the graph of the function x(vi).</p>

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