A physics textbook slides off a horizontal table- top witha speed of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance. Find (a) the height of the tabletop above the floor; (b) the horizontal distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book's velocity, and the magnitude and direction of its velocity, just before the book reaches the floor.

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Problem 3
A physics textbook slides off a horizontal table-
top witha speed of 1.10 m/s. It strikes the floor
in 0.480 s. Ignore air resistance. Find (a) the
height of the tabletop above the floor; (b) the
horizontal distance from the edge of the table to
the point where the book strikes the floor; (c) the
horizontal and vertical components of the book's
velocity, and the magnitude and direction of its
velocity, just before the book reaches the floor.
(d) Draw x – t, y – t, væ – t, and vy – t graphs
for the motion.
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Transcribed Image Text:Problem 3 A physics textbook slides off a horizontal table- top witha speed of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance. Find (a) the height of the tabletop above the floor; (b) the horizontal distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book's velocity, and the magnitude and direction of its velocity, just before the book reaches the floor. (d) Draw x – t, y – t, væ – t, and vy – t graphs for the motion. - -
Expert Solution
Step 1

(a)

The height of the table can be calculated by using the kinematic equation,

In the vertical direction, the distance travelled by the book is,

h=vot+12(g)t2Here,vo=initial vertical component of velocity of book.It is equal to zero.h=(0m/s)t+12(9.81m/s2)(0.480s)2 h=1.13 m

(b)

The horizontal distance travelled by the book is,

x=votx=(1.10m/s)(0.480s)x=0.528 m

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