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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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