The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t – 4.9t2 after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = X m/s v(4) = X m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) (c) What is the maximum height? (Round your answer to two decimal places.) x m (d) When does it hit the ground? (Round your answer to two decimal places.) X S (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) x m/s
The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t – 4.9t2 after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = X m/s v(4) = X m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) (c) What is the maximum height? (Round your answer to two decimal places.) x m (d) When does it hit the ground? (Round your answer to two decimal places.) X S (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) x m/s
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t – 4.9t2 after t seconds.
(a) Find the velocity (in m/s) after 2 seconds and after 4 seconds.
v(2) =
X m/s
v(4) =
x m/s
(b) When does the projectile reach its maximum height? (Round your answer to two decimal places.)
(c) What is the maximum height? (Round your answer to two decimal places.)
m
(d) When does it hit the ground? (Round your answer to two decimal places.)
x s
(e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.)
x m/s
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