JEE Main 2024 Physics question
A body of mass 2 kg begins to move under the action of a time dependent force given by N. The power developed by the force at the time t is given by
Answer: (A)
Solution
a⃗ = F⃗/m = 3tî + 3t²ĵ, so v⃗ = (3t²/2)î + t³ĵ (starting from rest). P = F⃗·v⃗ = 6t(3t²/2) + 6t²(t³) = 9t³ + 6t⁵.