Aski jumper competing for an olympic gold medal wants to jump a horizontal distance of 135 meters. the
takeoff point of the ski jump is at a height of 25 meters. with what horizontal speed must he leave the jump?
a. what do you know?
b. what do you need to solve for?
c. what equation(s) will you use?
d. what is the solution to this problem?

A) I know that the take off height is 25m. I also know that the horizontal distance to cover is 135m.

b) I need to solve the take off horizontal speed from the height.

c) The equation is Horizontal distance, x =  Horizontal speed u  * time t.
                                                               x  = ut

H = (1/2)gt^2.  Taking g as 10 m/s^2

Where H = Take off height from the ground.

Using second equation:

H = (1/2)gt^2

25 = (1/2)*10* t^2

25 = 5t^2

5t^2 = 25

t^2 = 5.    Therefore,  t = √5  seconds.

Using x  = ut

125  =  u * √5

u = 125/√5.    Expressing as surd u = 25√5  m/s.

Using your calculator,  u = 55.90 m/s.

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.

Indoraptor for sure