A body is initially moving with a velocity of 10 m/s. It undergoes an acceleration of 2 m/s² for 5 seconds. Find the displacement (in m) of this body in these 5 seconds.

Correct answer is 75

CONCEPT:

• Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
• These equations are only valid when the acceleration of the body is constant and they move on a straight line.

There are three equations of motion:

V = u + at

V2 = u2 + 2 a S

\({\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}\)

Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

CALCULATION:

Given that:

Initial velocity (u) = 10 m/s

Acceleration (a) = 2 m/s²

Time (t) = 5 sec

S = ut + 1/2 at²

Displacement (S) = 10 × 5 + (1/2) × 2 × 5² = 75 m

Hence option 4 is correct.