An insect is crawling over a plane surface with acceleration \(\vec a = a_x \widehat{i} +a_y\widehat{j}\). The resultant value of acceleration is given by-

CONCEPT:

• Motion in a plane: Motion in a plane can be taken as two separate one-dimensional motions with constant acceleration along with two perpendicular directions.
• Let the velocity of an object moving in a two-dimensional plane is v₀ at the time (t) = 0 and v at time t.

Acceleration (a) is given by:

\(⇒ a = \frac {v-v_0}{t}\)

• Acceleration: The ratio of change in velocity and corresponding time taken by the object is called acceleration.

\(\Rightarrow Acceleration = \frac {change \space in \space velocity}{time \space taken}\)

EXPLANATION:

For an insect is crawling over a plane surface with acceleration \(\vec a = a_x \widehat{i} +a_y\widehat{j}\),

The resultant value of acceleration is given by:

a = √ (ax2 + ay2)

• Hence option 2) is correct.