If I want to find out when an object hits the ground, I should
solve h(t) = 0
follow these steps:
1. Determine the initial vertical position of the object: Note down the initial height of the object from the ground.
2. Calculate the time it takes for the object to hit the ground using the following formula: t = √(2h/g), where t is the time in seconds, h is the initial height in meters, and g is the acceleration due to gravity (approximately 9.8 m/s²).
3. Calculate the final vertical velocity of the object just before it hits the ground using the following formula: v = gt, where v is the final velocity in meters per second, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time calculated in step 2.
4. Calculate the distance the object travels before hitting the ground using the following formula: d = (1/2)gt², where d is the distance in meters, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time calculated in step 2.
5. Finally, determine the time when the object hits the ground by adding the time calculated in step 2 to the initial time.
Note: These calculations assume no air resistance and that the object is subject to a constant gravitational force.
To find out when an object hits the ground, you can follow these steps:
1. Determine the initial height (h) of the object from the ground.
2. Calculate the object's initial velocity (v) if it is thrown or launched. If the object is dropped, its initial velocity is zero.
3. Use the equation of motion for vertical motion: s = ut + (1/2)at^2, where s represents the distance traveled, u is the initial velocity, t is the time taken, and a is the acceleration due to gravity (-9.8 m/s^2 on Earth).
4. Rearrange the equation to find the time taken (t) for the object to hit the ground: t = √((2s)/g), where g is the acceleration due to gravity.
5. Substitute the values of h and g into the equation, and calculate the square root to find the time taken.
6. The resulting time (t) will give you the duration taken for the object to hit the ground.
Remember that this method assumes a free-falling object in a vacuum, with negligible air resistance. In real-life scenarios, factors like air resistance and the shape of the object will affect the time taken for it to hit the ground.