(a) The time between take-off and landing can be calculated using the equation:
t = v/g
where v is the initial velocity and g is the acceleration due to gravity (9.8 m/s2).
t = 25/9.8 = 2.55 s
(b) The length of the jump can be calculated using the equation:
d = v2sin2θ/2g
where v is the initial velocity, θ is the angle of the landing hill (30°), and g is the acceleration due to gravity (9.8 m/s2).
d = (252sin2(30°))/2(9.8) = 24.7 m
(c) The maximum vertical distance between the jumper and the landing hill can be calculated using the equation:
h = v2sin2θ/2g
where v is the initial velocity, θ is the angle of the landing hill (30°), and g is the acceleration due to gravity (9.8 m/s2).
h = (252sin2(30°))/2(9.8) = 12.3 m
A ski jumper starts with a horizontal take-off velocity of 25m/s and lands on a
straight landing hill inclined at 30 0 . Determine (a) the time between take-off and
landin. (b) The length 'd' of the jump. (c) The maximum vertical distance between
the jumper and the landing hill.
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