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jackscholar
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Homework Statement
A bus traveling at 65km/h on a bearing of 190° changes direction to south-east and continues at the same speed. Find the change in velocity of the bus.
Homework Equations
The Attempt at a Solution
I'm fairly hopeless at drawing the diagrams for these questions so I calculated the x and y components for both before and after the change in direction and i got:
65cos190=-64.01
65sin190=-11.29
65cos135=-45.96
65sin135=45.96
then i substracted vector 1 from vector 2 and got:
x=-45.96+64.01
y=45.96+11.29 (double - is positive)
x=18.05
y=57.25
thus r is √(18.05^2+57.25^2)=60.018
and the change in direction is thus inverse tan(57.25/18.05)=72.5 degrees
Is it viable to get an accurate answer without a diagram? And am I correct?
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