First slide

Projection Under uniform Acceleration

Question

A particle moving with a velocity equal to 0.4 ms^-1 is subjected to an acceleration of 0.15 ms^-2 for 2 seconds in a direction at right angles to the direction of motion. The magnitude of the final velocity is

Moderate

A

0.3 ms^-1
B

0.4 ms^-1
C

0.5 ms^-1
D

0.7 ms^-1

Solution

$\large \bar V=\bar u +\bar {at}=0.4\vec i+(0.15\vec j)(2)=0.4\vec i+0.3\vec j$
$\fn_cm \large v=\sqrt{(0.4)^2+(0.3)^2}=0.5ms^-1$

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