7. The height in meters of a projectile shot vertically upward from a point 2 m above the ground level with an initial velocity of 24.5 m/s is h = 2+24.5t-4.9t² after t seconds. (a) Find the velocity after 2 s and after 4 s. (b) When does the projectile reach its maximum height? (c) What is that max height? (d) When does it hit the ground? (e) with what velocity does it hit the ground?
7. The height in meters of a projectile shot vertically upward from a point 2 m above the ground level with an initial velocity of 24.5 m/s is h = 2+24.5t-4.9t² after t seconds. (a) Find the velocity after 2 s and after 4 s. (b) When does the projectile reach its maximum height? (c) What is that max height? (d) When does it hit the ground? (e) with what velocity does it hit the ground?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve problem 7 part (d), (e), and (c) please. Thank you
Transcribed Image Text:(a) Find the velocity at time t.
(b) What is the velocity after 3 s?
(c) When is the particle at rest?
(d) When is the particle moving in positive direction?
(e) Find the total distance traveled during the first 8 s.
(f) Draw a diagram illustrating the motion of the particle.
(g) Find the acceleration at time t and after 3 s.
(h) Graph the position, velocity and acceleration functions for 0≤t≤8.
(i) When is the particle speeding up? When is it slowing down?
7. The height in meters of a projectile shot vertically upward from a point 2 m above the ground level with an
initial velocity of 24.5 m/s is h=2+24.5t-4.9t² after t seconds.
(a) Find the velocity after 2 s and after 4 s.
(b) When does the projectile reach its maximum height?
(c) What is that max height?
(d) When does it hit the ground?
(e) with what velocity does it hit the ground?
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