A skier leaves the horizontal end of a ramp with a velocity of 31.0 m/s and lands 156.3 m from the base of a ramp how high is the end of the ramp from the ground ?

Respuesta :

Answer:

The height of ramp = 124.694 m

Explanation:

Using second equation of motion,

[tex]s = ut + \frac{1}{2}at^2[/tex]

From the question,

u = 31 m/s; s = 156.3 m, a=0

substituting values

[tex]156.3 = 31\times t + 0[/tex]

t = [tex]\frac{156.3}{31 }[/tex]

= 5.042 s

Similary, for the case of landing

t = 5.042 s; initial velocity, u =0

acceleration = acceleration due to gravity, g = 9.81 [tex]m/s^2[/tex]

Substituting in [tex]h = ut + \frac{1}{2}gt^2[/tex]

[tex]h = 0 + \frac{1}{2} \times 9.81 \times (5.042)^2[/tex]

h = 124.694 m

So height of ramp = 124.694 m