Vaibhav gives a challenge to Kalash. He says that describe a motion such that the velocity vector at some instant of time makes an angle of \(45^{\circ}\) with the acceleration vector. Kalash then swiftly answers that \( \vec{r} = at\hat{i} + at\left(1 - \dfrac{t}{10}\right)\hat{j} \).

Kalash then asks Vaibhav at what instant of time will this occur for the motion described above. Vaibhav is confused. Can you help him out?

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