53. Anna hits a softball at a height of 3 ft from the ground. The softball leaves her bat traveling with an initial speed of 80 ft/sec, at an angle of 30° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...
icon
Related questions
icon
Concept explainers
Topic Video
Question

How do I solve 53?

53. Anna hits a softball at a height of 3 ft from the
ground. The softball leaves her bat traveling with an
initial speed of 80 ft/sec, at an angle of 30° from the
horizontal. Choose a coordinate system with the origin
at ground level directly under the point where the ball
is struck.
a. Write parametric equations that model the path of the
ball as a function of time t (in sec).
b. When is the ball at its maximum height?
c. What is the maximum height? Round to the
nearest foot.
d. If an outfielder catches the ball at a height of 5 ft,
how long was the ball in the air after being struck?
Give the exact answer and the answer rounded to
the nearest hundredth of a second.
e. How far is the outfielder from home plate when she
catches the ball? Round to the nearest foot.
19 A
. Wri
Transcribed Image Text:53. Anna hits a softball at a height of 3 ft from the ground. The softball leaves her bat traveling with an initial speed of 80 ft/sec, at an angle of 30° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. When is the ball at its maximum height? c. What is the maximum height? Round to the nearest foot. d. If an outfielder catches the ball at a height of 5 ft, how long was the ball in the air after being struck? Give the exact answer and the answer rounded to the nearest hundredth of a second. e. How far is the outfielder from home plate when she catches the ball? Round to the nearest foot. 19 A . Wri
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning