A boy standing in a ditch throws a baseball upward toward his father. The ball l
ID: 1506244 • Letter: A
Question
A boy standing in a ditch throws a baseball upward toward his father. The ball leaves his hand at ground level, with an initial speed of 15.0 m/s,at an angle of ? = 69°, from the horizontal.
A boy standing in a ditch throws a baseball upward toward his father. The ball leaves his hand at ground level, with an initial speed of 15.0 m/s,at an angle of ? = 69°, from the horizontal.
The boy's father reaches up and catches the ball over his head, at a height of 2.0 m above the ground. The father catches the ball on its way down (as shown in the Figure). Calculate how long the ball is in the air. ( g = 9.81 m/s2)
Explanation / Answer
Applying equation of motion
Here, h = uy *t - 1/2 * g * t2
=> 2.0 = (15 * sin69)t - 1/2 * 9.81 * t2
=> 2.0 = (14)t - 4.905 * t2
=> 2.0 - (14)t + 4.905 * t2 = 0
Solving for t
=> t = 2.7034 sec
=> time for which the ball is in the air = 2.7034 sec
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