Kinematics

A boat that rows at 10 km/h in still water crosses a river 4.8 km wide flowing at 6 km/h, taking the shortest possible PATH (straight across). Find the time taken.

Rain falls vertically at 20 m/s. A cyclist rides horizontally at 20 m/s. Find the speed of the rain as seen by the cyclist.

A particle is projected at 60° to the horizontal up an incline of 30°, with initial speed 10 m/s. Find the time of flight along the incline. (g = 10 m/s²)

A stone is dropped from a height of 40 m at the same instant a ball is thrown up from the ground with speed 20 m/s. At what height do they meet? (g = 10 m/s²)

A particle accelerates uniformly from rest to 30 m/s in 6 s, then decelerates uniformly to rest in 4 s. Find the total distance covered.

A projectile is launched at 40° and again at 50° with the same speed 20 m/s. Compare their horizontal ranges.

A particle starts with velocity 2 m/s and moves with uniform acceleration 4 m/s². Find the distance covered in the 5th second.

Car A moves east at 30 m/s and car B moves north at 40 m/s. Find the magnitude of velocity of A relative to B.

A ball thrown vertically up returns to the thrower after 4 s. Find the maximum height reached. (g = 10 m/s²)

A projectile is launched with speed 20 m/s. Find its maximum possible horizontal range. (g = 10 m/s²)

A car covers the first half of a journey at 20 m/s and the second half (equal distance) at 30 m/s. Find its average speed for the whole journey.

A car decelerates uniformly from 30 m/s to rest over a distance of 90 m. Find its deceleration.