Pizza War 1

Classical Mechanics Level 3

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?

9 14 10 12 5 18 6 7