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11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations y = -51? + 15V3. X = and part C only b Hence find the Cartesian equation of the path. ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.

11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations y = -51? + 15V3. X = and part C only b Hence find the Cartesian equation of the path. ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 35E
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11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.
Transcribed Image Text:11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.
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