To solve the problem, we need to calculate the kinetic energy of a particle given its mass and velocity.
- Kinetic energy (KE) is the energy possessed by a body due to its motion.
- The formula to calculate kinetic energy is:
\[
KE = \frac{1}{2} m v^2
\]
where:
\( m \) = mass of the particle (in kg)
\( v \) = velocity of the particle (in m/s)
- Mass, \( m = 2 \, \text{kg} \)
- Velocity, \( v = 3 \, \text{m/s} \)
\[ KE = \frac{1}{2} \times 2 \times (3)^2 = 1 \times 9 = 9 \, \text{Joules} \]
The kinetic energy of the particle is 9 Joules.
The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)?