A small ball rolls horizontally off the edge of a tabletop...

A small ball rolls horizontally off the edge of a tabletop that is 1.20 $\mathrm{m}$ high. It strikes the floor at a point 1.52 $\mathrm{m}$ horizontally
from the table edge. (a) How long is the ball in the air? (b) What i.
its speed at the instant it leaves the table?

Key Concepts

Projectile Motion

Projectile motion describes the motion of an object that is launched into the air and is only influenced by gravity (when air resistance is negligible). This concept involves breaking the object's motion into horizontal and vertical components, which are treated independently using kinematics equations.

Vertical Motion Under Gravity

In the vertical direction, an object in free fall, starting from rest (as in the case of a horizontal launch), falls with an acceleration equal to the gravitational acceleration. The distance covered can be used to determine the time of flight by applying the kinematic equation that relates displacement, acceleration, and time.

Horizontal Motion at Constant Velocity

The horizontal component of motion in projectile problems remains constant throughout the flight when air resistance is ignored. The horizontal displacement is simply the product of this constant speed and the time of flight, allowing one to calculate the horizontal speed from the measured range and the time determined from the vertical motion.

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