An autographed baseball rolls off of a 1.4 m high desk & strikes the floor .53 m away from the desk. How fast was it. . . rolling on the desk before it fell off? The accel. of gravity is 9.81 m/s^2. Answer in units of m/s. My original answer was 3.2 but was told that was wrong. What did I do wrong?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The key is to determine how long  it took the ball to fall from the desk to the floor.

The relationship is:

delta y = Viy + 1/2 gt^2

When the ball rolls off the edge of the table, the initial velocity in the y-direction (Viy) is assumed to be zero.

So, it simplifies to:  delta y = 1.2 gt^2

delta y = 1.4 m, g = 9.81 m/s/s and solve for t.

t = 0.53 s.

In 0.53 s, the ball went forward 0.53 m.

velocity = d/t = 0.53 m/0.53s = 1.0 m/s ball speed in the x-direction when it rolled off the table.

 

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial