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The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 25.5 m/s is h
Question
The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 25.5 m/s is h = 2 + 25.5t ? 4.9t2 after t seconds. (Round your answers to two decimal places.) (a) Find the velocity after 2 s and after 4 s. v(2) = 5.9 Correct: Your answer is correct. m/s v(4) = -13.7 Correct: Your answer is correct. m/s (b) When does the projectile reach its maximum height? 2.60 Correct: Your answer is correct. s (c) What is the maximum height? 37.2 Incorrect: Your answer is incorrect. m (d) When does it hit the ground? 5.36 Incorrect: Your answer is incorrect. s (e) With what velocity does it hit the ground? 27.03 Incorrect: Your answer is incorrect. m/s
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Physics
4 years
2021-07-27T18:18:28+00:00
2021-07-27T18:18:28+00:00 1 Answers
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Answers ( )
Answer:
a)
,
, b)
, c)
, d)
, e) 
Explanation:
a) The velocity function is determined by deriving the position function in time:
Velocities after 2 seconds and 4 seconds are, respectively:
b) The maximum height is reached when velocity is equal to zero:
The time when the projectile reaches the maximum height:
c) The maximum height is:
d) The projectile hits the ground when height is equal to zero:
The roots of the second order polynomial are presented below:
The first one is the only reasonable solution in physical terms.
e) The velocity of the projectile when it hits the ground is: