Correct Answer - Option 1 : 4 m
Concept:
Equations of Motion
- The equations of motion establish the relationship between acceleration, time, distance, initial speed, and final speed for a body moving in a straight line with uniform acceleration.
- This is for constant acceleration.
The equations are
v = u + at - (1)
\(s = ut + \frac{1}{2}at^2\) - (2)
v2 = u2 + 2as - (3)
v is final velocity, u is initial velocity, t is time, a is acceleration, s is the distance travelled.
Calculation:
Given
initial speed u = 0
final speed v = ?
acceleration a =2 m s - 1.
distance s
\(s = ut + \frac{1}{2}at^2\)
\(\implies s = (0) \times 2 + \frac{1}{2} \times 2\times (2)^2\)
⇒ s = 4 m
So the correct option is 4 m.
-
Displacement: The shortest distance between two points is called displacement.
-
Velocity: The rate of change of displacement is called velocity
v = ds / dt
-
Acceleration: The rate of change of velocity is called acceleration
a = d2 s / dt