A monkey, hanging on a tree, is at a height of 3m from the ground. Ronaldo sees it from a distance of 6m. He kicks a ball towards the monkey with an initial speed of vo m/s and with an angle 0 = 30° from the horizontal. (a) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively: Find the initial velocity vo such that the ball can reach the monkey (note: the money does not move). (b) Find the time t, when the monkey can catch the ball. (c) When the monkey catches the ball, has the ball already passed the highest point on its trajectory? Show your working.

University Physics Volume 1
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Chapter2: Vectors
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A monkey, hanging on a tree, is at a height of 3m from the ground. Ronaldo sees it from a distance of 6m. He kicks a ball towards the monkey with an
initial speed of vo m/s and with an angle 0 = 30° from the horizontal.
(a) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively: Find the initial velocity vo such that the ball can reach the monkey
(note: the money does not move).
(b) Find the time t, when the monkey can catch the ball.
(c) When the monkey catches the ball, has the ball already passed the highest point on its trajectory? Show your working.
Transcribed Image Text:A monkey, hanging on a tree, is at a height of 3m from the ground. Ronaldo sees it from a distance of 6m. He kicks a ball towards the monkey with an initial speed of vo m/s and with an angle 0 = 30° from the horizontal. (a) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively: Find the initial velocity vo such that the ball can reach the monkey (note: the money does not move). (b) Find the time t, when the monkey can catch the ball. (c) When the monkey catches the ball, has the ball already passed the highest point on its trajectory? Show your working.
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