The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:
Option 1 -
Position: x(t) is a curve increasing with increasing slope. Velocity: v(t) is a straight line with positive slope. Acceleration: a(t) is a constant positive line.
Option 2 -
Position: x(t) is a curve increasing with decreasing slope. Velocity: v(t) is a straight line with positive slope. Acceleration: a(t) is a constant positive line.
Option 3 -
Position: x(t) is a curve increasing with decreasing slope. Velocity: v(t) is a straight line with negative slope. Acceleration: a(t) is a constant negative line.
Option 4 -
Position: x(t) is a curve increasing with increasing slope. Velocity: v(t) is a straight line with positive slope. Acceleration: a(t) is a constant positive line that changes value over time.
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1 Answer
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Correct Option - 1
Detailed Solution:For constant acceleration, a,
x = ut + (1/2)at² ⇒ x-t graph is parabola.
v = u + at ⇒ v-t graph is straight line with positive slope.
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