Respuesta :
The given:
Initial velocity of 20 m/s
Initial height of 60 m
Acceleration due to gravity of -9.8 m/s^2
Original formula:
H(t) = gt2 + v0t + h0
Derivation:
T= gt2 + v0t + h0 / h; where the yielding result will reveal the time when the object will reach the ground.
The solution can be simplified to determine when the object will hit the ground is;
h(t) = -9.8t² + 20t + 60
Projectile motion
We are told that the projectile motion of an object can be modeled using;
h(t) = gt² + v0*t + h0
Where;
g is the acceleration due to gravity
t is the time since launch
h(t) is the height of the projectile after time t
v0 is the initial velocity
h0 is the initial height.
Now, we are given;
- The acceleration due to gravity; g = –9.8 m/s²
- Initial velocity; v0 = 20 m/s
- Initial height; h0 = 60 m
Thus;
h(t) = -9.8t² + 20t + 60
Read more on projectile motion at; https://brainly.com/question/14899130