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Help in physics question

In a flying ski jump, the skier acquires a speed of 110 km/h by racing down a steep hill and then lifts off into the air from a horizontal ramp. Beyond this ramp, the ground slopes downward at an angle of 45◦. (a) Assuming that the skier is in a free-fall motion after he leaves the ramp, at what distance down the slope will he land? What is his displacement vector from the point of ‘lift off’?
Original post by studentzz123
In a flying ski jump, the skier acquires a speed of 110 km/h by racing down a steep hill and then lifts off into the air from a horizontal ramp. Beyond this ramp, the ground slopes downward at an angle of 45◦. (a) Assuming that the skier is in a free-fall motion after he leaves the ramp, at what distance down the slope will he land? What is his displacement vector from the point of ‘lift off’?

Produce two equations:

1) Straight line in the form y = mx + c representing the ground slope

2) Choose a SUVAT equation for the skiers vertical velocity vector and then define a general equation for the y displacement with a constant horizontal component of 110 km/hr

3) Solve simultaneously
Original post by uberteknik
Produce two equations:

1) Straight line in the form y = mx + c representing the ground slope

2) Choose a SUVAT equation for the skiers vertical velocity vector and then define a general equation for the y displacement with a constant horizontal component of 110 km/hr

3) Solve simultaneously

I tried using another method image.jpg is it right ? I found horizontal and vertical speed and then found time by v=u+at and substituted time in horizontal equation

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