A boat moves so that its position vector, r metres, at time t seconds is given by r = 2t - i+ 2tj 10 The unit vectors i and j are directed east and north respectively. (a) Find the time when the boat is due north of its initial position. ( seconds) (b) Find the time when the boat is travelling north. ( seconds) (c) Find the acceleration of the boat, state the direction of the acceleration. magnitude = ( m/s2), direction = (

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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A boat moves so that its position vector, r metres, at time t seconds is given byr =
2t -
i+ 2tj
The unit vectors i and j are directed east and north respectively.
(a) Find the time when the boat is due north of its initial position. (
seconds)
(b) Find the time when the boat is travelling north. (
seconds)
(c) Find the acceleration of the boat, state the direction of the acceleration. magnitude = (
m/s2), direction = (
Transcribed Image Text:A boat moves so that its position vector, r metres, at time t seconds is given byr = 2t - i+ 2tj The unit vectors i and j are directed east and north respectively. (a) Find the time when the boat is due north of its initial position. ( seconds) (b) Find the time when the boat is travelling north. ( seconds) (c) Find the acceleration of the boat, state the direction of the acceleration. magnitude = ( m/s2), direction = (
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