The x and y coordinates of a particle at any time are x = 5t - 2t² and y = 10t, where x and y are in metres and t in seconds. The acceleration of the particle at t=2 s is:
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The x and y coordinates of a particle at any time are x = 5t - 2t² and y = 10t, where x and y are in metres and t in seconds. The acceleration of the particle at t=2 s is:

G1 Physics · Accepted Answer

Step 1: vₓ=dx/dt=5-4t, so aₓ=dvₓ/dt=-4 m s⁻². Step 2: vᵧ=dy/dt=10, so aᵧ=0. Step 3: Net acceleration is -4i m s⁻²; along the x-axis its value is -4 m s⁻². Final answer: C.