Motion in a Straight Line

A particle moves in a plane with uniform acceleration having direction different than that of instantaneous velocity. What is the nature of trajectory?

A bus starts from rest with an acceleration of $1 \mathrm{m} {\sec }^{-2}$. A man who is $48 \mathrm{m}$ behind the bus starts with a uniform velocity of $10 {\mathrm{ms}}^{-1}$. Then after how much time the man will catch the bus?

A water tap leaks such that water drops fall at regular intervals. Tap is fixed $5 \mathrm{m}$ above the ground. First drop reaches the ground when ${\mathrm{4}}^{\mathrm{th}}$ drop is about to leave the tap. Find the separation between $2^{nd}$ and $3^{rd}$ drop.