- #1
Jahnavi
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Homework Statement
There are two particles A and B moving on x-axis .Their velocities are represented on velocity time (v-t) graph . Graphs of both A and B are straight lines . A makes an angle 120° with the positive x-axis whereas B makes an angle 135° .
1) Slope of A or B is more ?
2) Acceleration of A or B is more ?
Homework Equations
The Attempt at a Solution
This is quite a fundamental problem , but the answer key has left me bit confused .
Slope is given by the tangent of the angle measured anticlockwise .
Tan (120°) = - √3
Tan (135°) = - 1
Tan 135° > Tan 120° , so slope of B is more than slope of A
But acceleration will be given by absolute value of the slopes .Is that correct ?
In that case acceleration of A is more than that of B .The negative sign denotes direction .
So , even though slope of B is more than that of A , acceleration of A is more .
Please let me know if I am thinking incorrectly .