List of top Physics Questions on Motion in a plane asked in MHT CET

The position vector of a particle is \(\overset{⃗}{r} = acosωt\hat{i}+asinωt\hat{j}\). Calculate the angle between its position vector and the velocity vector.
(\(cos0 = 1,cos90 = 0,cos60 = 0.5,sin30 = 0.5,sin0 = 0\))
A ball is thrown vertically upwards with an initial velocity of $ 20 \, \text{m/s} $. How high will the ball rise? (Take $ g = 10 \, \text{m/s}^2 $)