Question
Show the height of T = 0 until its hits the ground
Answers
GPT 3.5
To determine the height of an object at a specific time, we need to know the initial height, initial velocity, and the acceleration due to gravity.
Let's assume the initial height of the object, T = 0, is h₀. The initial velocity, Vi, is usually considered 0 as we assume no initial upward or downward velocity. The acceleration due to gravity, a, is typically considered as -9.8 m/s² (assuming downwards as the positive direction).
Using the kinematic equation:
h(t) = h₀ + Vi*t + (1/2)*a*t²
Since Vi is 0, the equation simplifies to:
h(t) = h₀ + (1/2)*a*t²
However, for an object thrown upwards, the acceleration due to gravity is -9.8 m/s², so the equation becomes:
h(t) = h₀ + (1/2)*(-9.8)*t²
As it hits the ground, the height h(t) becomes 0. Therefore, we can write the equation as:
0 = h₀ + (1/2)*(-9.8)*t²
Simplifying further:
h₀ = (1/2)*9.8*t²
To determine the height at T = 0 until it hits the ground, we need to provide the specific values of h₀ (initial height) and t (time elapsed since T = 0).
Let's assume the initial height of the object, T = 0, is h₀. The initial velocity, Vi, is usually considered 0 as we assume no initial upward or downward velocity. The acceleration due to gravity, a, is typically considered as -9.8 m/s² (assuming downwards as the positive direction).
Using the kinematic equation:
h(t) = h₀ + Vi*t + (1/2)*a*t²
Since Vi is 0, the equation simplifies to:
h(t) = h₀ + (1/2)*a*t²
However, for an object thrown upwards, the acceleration due to gravity is -9.8 m/s², so the equation becomes:
h(t) = h₀ + (1/2)*(-9.8)*t²
As it hits the ground, the height h(t) becomes 0. Therefore, we can write the equation as:
0 = h₀ + (1/2)*(-9.8)*t²
Simplifying further:
h₀ = (1/2)*9.8*t²
To determine the height at T = 0 until it hits the ground, we need to provide the specific values of h₀ (initial height) and t (time elapsed since T = 0).