At time t = 0 a skier leaves the end of a ski jump with a speed of υ 0 ft / s at an angle α with the horizontal (see the accompanying figure). The skier lands 259 ft down the incline 2.9 s later. (a) Approximate υ 0 to the nearest f t / s and α to the nearest degree. [ N ote: Use g = 32 ft / s 2 as the acceleration due to gravity.] (b) Use a CAS or a calculating utility with a numerical integration capability to approximate the distance traveled by the skier.
At time t = 0 a skier leaves the end of a ski jump with a speed of υ 0 ft / s at an angle α with the horizontal (see the accompanying figure). The skier lands 259 ft down the incline 2.9 s later. (a) Approximate υ 0 to the nearest f t / s and α to the nearest degree. [ N ote: Use g = 32 ft / s 2 as the acceleration due to gravity.] (b) Use a CAS or a calculating utility with a numerical integration capability to approximate the distance traveled by the skier.
At time
t
=
0
a skier leaves the end of a ski jump with a speed of
υ
0
ft
/
s
at an angle
α
with the horizontal (see the accompanying figure). The skier lands 259 ft down the incline 2.9 s later.
(a) Approximate
υ
0
to the nearest
f
t
/
s
and
α
to the nearest degree. [Note:
Use
g
=
32
ft
/
s
2
as the acceleration due to gravity.]
(b) Use a CAS or a calculating utility with a numerical integration capability to approximate the distance traveled by the skier.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Precalculus: Mathematics for Calculus - 6th Edition
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