An autographed baseball rolls off of a 1.2 m high desk and strikes the floor 0.3

Question

An autographed baseball rolls off of a 1.2 m high desk and strikes the floor 0.37 m away from the desk. How fast was it rolling on the desk before it fell off? The acceleration of gravity is 9.81 m/s^2. Answer in units of m/s. A cat chases a mouse across a 1.3 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.8 m from the edge of the table. What was the cat?s speed when it slid off the table? The acceleration of gravity is 9.81 m/s^2. Answer in units of m/s.

Explanation / Answer

Let horizontal and vertical velocities of the ball be va & vbrespectively

In vertical direction,

The time taken for the ball to reach the ground t is

t=sqrt(2*1.2/9.8) using s = vbt + 0.5*a*t2

t = 0.49 sec.

In horizontal direction, acceleration is 0

using s = vat + 0.5*a*t2

va = 0.37/0.49

therefore it was rolling at 0.75m/s before it fell off the desk.

b) Same as 1st problem

here t= 0.52sec

The cat slid off the table at 3.49m/s

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