A physics book slides off a horizontal tabletop with a speed of 2.70 m/s . It st

Question

A physics book slides off a horizontal tabletop with a speed of 2.70 m/s . It strikes the floor in 0.350 s . Ignore air resistance. Find the horizontal distance from the edge of the table to the point where the book strikes the floor. Find the horizontal component of the book's velocity, just before the book reaches the floor. A physics book slides off a horizontal tabletop with a speed of 2.70 m/s . It strikes the floor in 0.350 s . Ignore air resistance. Find the vertical component of the book's velocity just before the book reaches the floor. Find the magnitude of book's velocity, just before the book reaches the floor. Find the direction of book's velocity, just before the book reaches the floor.

Explanation / Answer

given that u = 2.7 m/s

t = 0.35 s

A) h = (1/2)*g*t^2

h = (1/2)*9.81*0.35^2 = 0.6 m

B) x = u*t = 2.7*0.35 = 0.945 m

C) vx = 2.7 m/s

D) vy = g*t = 9.81*0.35 = 3.43 m/s

E) v = sqrt(Vx^2+Vy^2) = sqrt(2.7^2+3.43^2) = 4.36 m/s

F) theta = tan^(-1)(Vy/Vx) = tan^(-1)(3.43/2.7) = 52.8 degrees below the horizontal

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