Answer:
Horizontal distance = 555.74 m
Explanation:
Given the following data;
Height = 1000m
Horizontal velocity = 140km/h
First of all, we would convert the unit of the velocity to meters per seconds;
V = (140 * 1000)/60*60
V = 140000/3600 = 38.89m/s
To find the time, we would use the second equation of motion;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
We know that acceleration due to gravity, g is equal to 9.8m/s²
Initial velocity, u = 0
Substituting into the equation, we have;
[tex] 1000 = 0(t) + \frac {1}{2}*9.8*t^{2}[/tex]
[tex] 1000 = 0 + 4.9*t^{2} [/tex]
[tex] 1000 = 4.9*t^{2} [/tex]
[tex] t^{2} = \frac {1000}{4.9} [/tex]
[tex] t = \sqrt{204.08}[/tex]
Time, t = 14.29 secs
To find the horizontal distance;
Speed = distance/time
[tex] Horizontal \; distance = horizontal \; velocity * time [/tex]
[tex] Horizontal \; distance = 38.89 * 14.29[/tex]
Horizontal distance = 555.74 m
