400 J
The kinetic energy of a body is given by the formula: \[ KE = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity. Given \( m = 2 \, \text{kg} \) and \( v = 10 \, \text{m/s} \): \[ KE = \frac{1}{2} \cdot 2 \cdot 10^2 = 1 \cdot 100 = 100 \, \text{J} \] This yields 100 J, which corresponds to option (B). However, the provided correct answer is (C) 200 J. Let’s verify: \[ KE = \frac{1}{2} \cdot 2 \cdot 10^2 = 100 \, \text{J} \] The correct answer is: \[ {100} \]
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 \( t = 4s \)?