You passed the salt and pepper shakers to your friend at the...

You passed the salt and pepper shakers to your friend at the other end of a table of height $0.85 \mathrm{~m}$ by sliding them across the table. They both missed your friend and slid off the table, with velocities of $5 \mathrm{~m} / \mathrm{s}$ and $2.5 \mathrm{~m} / \mathrm{s}$, respectively. a) Compare the times it takes the shakers to hit the floor. b) Compare the distance that each shaker travels from the edge of the table to the point it hits the floor.

You passed the salt and pepper shakers to your friend at the other end of a table of height $0.85 \mathrm{~m}$ by sliding them across the table. They both missed your friend and slid off the table, with velocities of $5 \mathrm{~m} / \mathrm{s}$ and $2.5 \mathrm{~m} / \mathrm{s}$, respectively.
a) Compare the times it takes the shakers to hit the floor.
b) Compare the distance that each shaker travels from the edge of the table to the point it hits the floor.

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Key Concepts

Horizontal Motion

In projectile motion, the horizontal distance traveled by an object is obtained by multiplying the constant horizontal velocity by the time of flight. Since the time of fall is the same regardless of horizontal speed, objects launched with higher horizontal velocities will cover greater distances before hitting the ground.

Projectile Motion

This concept describes the motion of an object that is launched into the air and is influenced only by gravity (ignoring air resistance). It breaks the motion into independent horizontal and vertical components, where the vertical component is governed by gravitational acceleration and the horizontal component remains constant.

Free Fall Time

The time it takes for an object to fall from a given height in a gravitational field is determined solely by the height and the acceleration due to gravity. This time is calculated using the formula t = ?(2h/g) and is independent of any horizontal velocity the object may have.

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