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27 Nov 2019
A spring cannon is located at the edge of a table that is 2.00 mabove the floor. A steel ball is launched from the cannon withspeed vi at 36.0° above the horizontal.
(a) Find the horizontal position of the ball as a function ofvi at the instant it lands on the floor. We write thisfunction as x(vi).
(b) Evaluate x for vi = 0.200 m/s.
(c) Evaluate x for vi = 135 m/s.
(d) Assume vi is close to but not equal to zero. Show that one termin the answer to part (a) dominates so that the functionx(vi) reduces to a simpler form.
(e) If vi is very large, what is the approximate form ofx(vi)?
(f) Describe the overall shape of the graph of the functionx(vi).
A spring cannon is located at the edge of a table that is 2.00 mabove the floor. A steel ball is launched from the cannon withspeed vi at 36.0° above the horizontal.
(a) Find the horizontal position of the ball as a function ofvi at the instant it lands on the floor. We write thisfunction as x(vi).
(b) Evaluate x for vi = 0.200 m/s.
(c) Evaluate x for vi = 135 m/s.
(d) Assume vi is close to but not equal to zero. Show that one termin the answer to part (a) dominates so that the functionx(vi) reduces to a simpler form.
(e) If vi is very large, what is the approximate form ofx(vi)?
(f) Describe the overall shape of the graph of the functionx(vi).
Casey DurganLv2
18 Jun 2019
