If an athlete throws a shot-put at an angle of 45 initial speed of 43 ft/s. The shot-put leaves his hand 7 feet above the to the horizontal with an ground. Write parametric equations for the trajectory of the shot-put:use g = 32 ft/s² . x(t)=v, cos(a)t and y(t)=(initial height)+v, sin(æ)t- 1? Answer the following and please provide decimal approximations rounded to the nearest tenth ...

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

b) What is the maximum height of the shot-put’s trajectory and at what time does it get there?

If an athlete throws a shot-put at an angle of 45°
initial speed of 43 ft/s. The shot-put leaves his hand 7 feet above the
to the horizontal with an
ground.
Write parametric equations for the trajectory of the shot-put:use g =
2 32 ft/s² .
x(t)=v, cos(a)t
y(t)=(initial height)+v, sin(æ)t-t²
12
and
Answer the following and please provide decimal approximations rounded to the
nearest tenth
Transcribed Image Text:If an athlete throws a shot-put at an angle of 45° initial speed of 43 ft/s. The shot-put leaves his hand 7 feet above the to the horizontal with an ground. Write parametric equations for the trajectory of the shot-put:use g = 2 32 ft/s² . x(t)=v, cos(a)t y(t)=(initial height)+v, sin(æ)t-t² 12 and Answer the following and please provide decimal approximations rounded to the nearest tenth
Answer the following and please provide decimal approximations rounded to the
nearest tenth ...
a)
Where is the shot-put when t=2?
b)
What is the maximum height of the shot-put's trajectory and at what
time does it get there?
c)
Where and when does the shot-put land?
d)
What is the impact velocity of the shot-put?
e) Sketch a graph of the parametric curve and label the points found
in parts a-d ...
Transcribed Image Text:Answer the following and please provide decimal approximations rounded to the nearest tenth ... a) Where is the shot-put when t=2? b) What is the maximum height of the shot-put's trajectory and at what time does it get there? c) Where and when does the shot-put land? d) What is the impact velocity of the shot-put? e) Sketch a graph of the parametric curve and label the points found in parts a-d ...
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