First slide

Average Acceleration

Question

The velocity-time graph of a particle in onedimensional motion is shown in the figure. Which of the following formulae is correct for describing the motion of the particle over the time interval t₁ to t₂?

Moderate

A

$\large x(t_2 ) = x(t_1 ) + v(t_1 )(t_2 - t_1 ) + \left( {\frac{1} {2}} \right)a(t_2 - t_1 )^2$
B

$v(t_2 ) = v(t_1 ) + a(t_2 - t_1 )$
C

$v_{average} = \frac{{\left( {x(t_2 ) + x(t_1 )} \right)}} {{(t_2 - t_1 )}}$
D

$a_{average} = \frac{{\left( {v(t_2 ) - v(t_1 )} \right)}} {{(t_2 - t_1 )}}$

Solution

Average acceleration = Change in velocity/Time interval
$= \frac{{v(t_2 ) - v(t_1 )}} {{(t_2 - t_1 )}}$

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