- #1
@d@m
- 2
- 0
Homework Statement
If a wood with loft 18 degrees is used to hit a ball that is in the air for 10.9 s, calculate:
(a) The distance the ball travels if its intial velociity is 18.5 m/s.
(b) The maximum height of the ball
@d@m said:Homework Statement
If a wood with loft 18 degrees is used to hit a ball that is in the air for 10.9 s, calculate:
(a) The distance the ball travels if its intial velociity is 18.5 m/s.
(b) The maximum height of the ball
Homework Equations
The Attempt at a Solution
The formula for calculating the distance and height of a ball with 18° loft and 10.9s air time is:
Distance = (initial velocity * cos(angle) * air time)
Height = (initial velocity * sin(angle))^2 / (2 * gravity) + (initial velocity * sin(angle) * air time)
The initial velocity of the ball can be determined by dividing the distance by the cosine of the angle and the air time. This will give you the initial horizontal velocity. Then, to find the initial vertical velocity, you can use the formula:
initial vertical velocity = (horizontal velocity * tan(angle)) - (gravity * air time / 2)
The value of gravity used in the calculation is typically 9.8 m/s^2. However, this may vary depending on the location and altitude.
To convert the calculated height from meters to feet, you can use the conversion factor of 3.281. Multiply the calculated height in meters by 3.281 to get the height in feet.
Yes, this formula can be used for any angle and air time as long as the initial velocity and gravity are known. However, it is important to note that the assumptions made in this formula may not be accurate for all situations, such as air resistance and the effects of spin on the ball.