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Physics · PYQ NEET UG 2017
हिन्दीThe x and y co-ordinates of the particle at any time are \( x = 5t - 2t^2 \) and \( y = 10t \) respectively, where x and y are in metres and t in seconds. The acceleration of the particle at \( t = 2\text{ s} \) is:
Correct answer · Option 3
\( -4\text{ m/s}^2 \)
Explanation
Velocity components: \( v_x = \frac{dx}{dt} = 5 - 4t \), \( v_y = \frac{dy}{dt} = 10 \). Acceleration components: \( a_x = \frac{dv_x}{dt} = -4\text{ m/s}^2 \), \( a_y = 0 \). Total acceleration is \( -4\text{ m/s}^2 \).
