Basketball hang time and the acceleration of gravity

[david12]

Here is my question guys ...i guess you can help me out .

1.A basketball player achieves a hang time of 1.33 second in dunking the ball.the acceleration of gravity is 9.8m/s^2.what is vertical hight will he attain.answer in m.

here is what i did.

Y=Y(inital) + v(inital)t + 1/2 gt^2

which is Y = 0.5(9.8)(1.33^2)
=8.6676 m

I don't know what i did wrong but my answer is wrong.

thank you.

 

[LowlyPion]

Here is my question guys ...i guess you can help me out .

1.A basketball player achieves a hang time of 1.33 second in dunking the ball.the acceleration of gravity is 9.8m/s^2.what is vertical hight will he attain.answer in m.

here is what i did.

Y=Y(inital) + v(inital)t + 1/2 gt^2

which is Y = 0.5(9.8)(1.33^2)
=8.6676 m

I don't know what i did wrong but my answer is wrong.

thank you.

Hang time is total time in the air isn't it? Half of that should give you time to maximum height.

 

[baba89]

Your approach is correct, but there may be a mistake in your calculation. The correct answer is 8.6676 meters.

To better understand the concept of hang time and the acceleration of gravity, let's break down the equation you used.

Y = Y(initial) + v(initial)t + 1/2 gt^2

Y: This represents the vertical displacement or height attained by the basketball player.

Y(initial): This is the initial height of the basketball player before they start their jump. In this case, it would be 0 since the player starts on the ground.

v(initial): This is the initial velocity of the basketball player before they start their jump. In this case, it would also be 0 since the player is initially at rest.

t: This represents the time in seconds that the basketball player is in the air or the hang time.

g: This is the acceleration due to gravity, which is a constant value of 9.8 m/s^2 on Earth.

Now, plugging in the values given in the question, we get:

Y = 0 + 0(1.33) + 1/2 (9.8)(1.33^2)
= 0 + 0 + 1/2 (9.8)(1.7689)
= 0 + 0 + 8.6676
= 8.6676 meters

So your approach was correct, but there may have been a mistake in calculating 1/2(9.8)(1.33^2). Make sure to double check your calculations to get the correct answer. This calculation is important because it shows that the height attained by the basketball player depends on the hang time, which in turn depends on the acceleration of gravity. This is why basketball players can jump higher on the moon, where the acceleration of gravity is less than on Earth.

Overall, this question and calculation demonstrate the relationship between hang time and the acceleration of gravity, which is an important concept in physics and can be applied to many other sports and activities. Keep up the good work in your studies!