If a rock is thrown upward on the planet Mercury with a velocity of 40 m/s, its height after t seconds is given by the equation h(t) = 40t – 1.85t². a) Find the velocity of the rock after one second. Velocity 38.15 m/s b) Find the velocity of the rock when t = a. Velocity m/s Preview 38.15 m/s

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Author:Ron Larson
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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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If a rock is thrown upward on the planet Mercury with a velocity of 40 m/s, its height
after t seconds is given by the equation h(t) = 40t 1.85t².
a) Find the velocity of the rock after one second.
Velocity
38.15
b) Find the velocity of the rock when t = a.
Velocity
Time
m/s
c) When will the rock hit the surface of the planet? Round your answer to 3 decimal
places.
Velocity
m/s
CHECK ANSWER
S
d) What will the velocity of the rock be when it hits the surface of the planet? Round
your answer to 3 decimal places.
Preview
38.15 m/s
m/s
Transcribed Image Text:If a rock is thrown upward on the planet Mercury with a velocity of 40 m/s, its height after t seconds is given by the equation h(t) = 40t 1.85t². a) Find the velocity of the rock after one second. Velocity 38.15 b) Find the velocity of the rock when t = a. Velocity Time m/s c) When will the rock hit the surface of the planet? Round your answer to 3 decimal places. Velocity m/s CHECK ANSWER S d) What will the velocity of the rock be when it hits the surface of the planet? Round your answer to 3 decimal places. Preview 38.15 m/s m/s
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