An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i + (3r² + 201) j The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level. a) Find the time when the height of the aeroplane is 500 metres. ( seconds) b) Find the speed of the aeroplane at this time. ( m/s) c) Find the magnitude of acceleration of the aeroplane. ( m/s2)

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter4: Motion In Two And Three Dimensions
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An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by:
r= (40t)i + (3r² + 201) j
The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level.
a) Find the time when the height of the aeroplane is 500 metres. (
seconds)
b) Find the speed of the aeroplane at this time. (
m/s)
c) Find the magnitude of acceleration of the aeroplane. (
m/s2)
Transcribed Image Text:An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i + (3r² + 201) j The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level. a) Find the time when the height of the aeroplane is 500 metres. ( seconds) b) Find the speed of the aeroplane at this time. ( m/s) c) Find the magnitude of acceleration of the aeroplane. ( m/s2)
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