If the vertical component of velocity for a projectile is 7.3 meters/second, find its hang time.
A. 1.9 seconds
B. 2.5 seconds
C. 5.6 seconds
D. 6.7 seconds
E. 7.1 seconds
B 2.5
To find the hang time of a projectile, we need to consider the vertical motion of the projectile.
The hang time represents the total time the projectile is in the air, from the moment it is launched to the moment it lands. In this case, we are given the vertical component of velocity, which is 7.3 meters/second.
We know that the vertical motion of a projectile is affected by the force of gravity, which causes the projectile to accelerate downward. The acceleration due to gravity is approximately 9.8 meters/second^2.
To find the hang time, we can use the following equation:
hang time = (2 * vertical component of velocity) / acceleration due to gravity
Substituting the given values, we have:
hang time = (2 * 7.3) / 9.8
= 14.6 / 9.8
= 1.49 seconds
Therefore, the correct answer is not provided in the given options. The closest answer is A. 1.9 seconds, but the correct answer should be approximately 1.49 seconds.
To find the hang time of the projectile, we can use the formula for the vertical motion of a projectile:
hang time = (2 * vertical component of velocity) / acceleration due to gravity
Given that the vertical component of velocity is 7.3 meters/second, we need to know the acceleration due to gravity. The acceleration due to gravity is approximately 9.8 meters/second².
So, hang time = (2 * 7.3) / 9.8
= 14.6 / 9.8
≈ 1.49 seconds
Since none of the options provided match the calculated result, it appears that there may be an error in the given options.