You passed the salt and pepper shakers to your friend at the other end of a tabl

Question

You passed the salt and pepper shakers to your friend at the other end of a table of height 0.78 m by sliding them across the table. They both missed your friend and slid off the table, with velocities of 5 m/s and 2.0 m/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. (Compare only the horizontal distance d that each shaker travels from the table.)

=

Explanation / Answer

Horizontal velocity of Salt Shaker Vsalt = 5m/s
Horizontal velocity of Peeper Shaker Vpepper = 2m/s

Vertical velocity of Salt Shaker Vsalt = 0
Vertical velocity of Peeper Shaker Vpepper = 0

Acceleration in Horizontal Direction = 0
Acceleration in Vertical Direction = 9.8 m/s^2

Height of table = 0.78 m

(A)
Times it takes the shakers to hit the floor -
0.78 = 0 + 0.5 * 9.8 * t^2
t = sqrt(0.78/4.9)
t = 0.4 s

tsalt = tpepper = 0.4s

(B)
Horizontal distance that each shaker travels -
Dsalt = Vsalt * tsalt
Dsalt = 5 * 0.4
Dsalt = 2m
DPepper = VPepper * tPepper
DPepper = 2 * 0.4
DPepper = 0.8 m

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