(Use Techology to draw graph) If a projectile is fired into the air, its height above ground at any time is given by the forumula y = y0 + v0t - 1/2gt2,   where  y = height above ground at time t, y0 = initial height above ground at time t=0, v0 = initial velocity at time t = 0, g = acceleration due to gravity, t = time passed since projectile's firing. If a projectile is launched with an initial velocity of 100 meters per second (100 m/s) from a rooftop 8 meters (8m) above ground level, at what time will the projectile first reach a height of 400 meters (400m)? Draw the grap using technology (show steps). Note: Near the earth's surface, the acceleration due to gravity is approximately 9.8 meters per second per second (9.8 (m/s)s or 9.8 m/s2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 46E
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(Use Techology to draw graph)

If a projectile is fired into the air, its height above ground at any time is given by the forumula
y = y0 + v0t - 1/2gt2,   where 

y = height above ground at time t,

y0 = initial height above ground at time t=0,

v0 = initial velocity at time t = 0,

g = acceleration due to gravity,

t = time passed since projectile's firing.

If a projectile is launched with an initial velocity of 100 meters per second (100 m/s) from a rooftop 8 meters (8m) above ground level, at what time will the projectile first reach a height of 400 meters (400m)?

Draw the grap using technology (show steps).


Note: Near the earth's surface, the acceleration due to gravity is approximately 9.8 meters per second per second (9.8 (m/s)s or 9.8 m/s2).

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