If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations below. x = (vocos(a)) t y = (vosin(a)) t - 4.9t² (a) A gun is fired with a = 30° and vo= 800 m/s. (Round your answers to the nearest whole number.) (i) When will the bullet hit the ground? S (ii) How far from the gun will it hit the ground? m (iii) What is the maximum height reached by the bullet? m (b) Find the equation of the parabolic path by eliminating the parameter. (Use alpha for a and v_0 for vo.) y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

q8

If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations below.
x = (vocos(a)) t
y = (vosin(a)) t - 4.9t²
(a) A gun is fired with a = 30° and vo= 800 m/s. (Round your answers to the nearest whole number.)
(i) When will the bullet hit the ground?
S
(ii) How far from the gun will it hit the ground?
m
(iii) What is the maximum height reached by the bullet?
m
(b) Find the equation of the parabolic path by eliminating the parameter. (Use alpha for a and v_0 for vo.)
y =
Transcribed Image Text:If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations below. x = (vocos(a)) t y = (vosin(a)) t - 4.9t² (a) A gun is fired with a = 30° and vo= 800 m/s. (Round your answers to the nearest whole number.) (i) When will the bullet hit the ground? S (ii) How far from the gun will it hit the ground? m (iii) What is the maximum height reached by the bullet? m (b) Find the equation of the parabolic path by eliminating the parameter. (Use alpha for a and v_0 for vo.) y =
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,