A crew working with dynamite to clear a road blasted a large rock straight up into the air with an initial velocity of 170 ft/sec. The rock reaches a height of s(t): -16t² + 170t after t seconds. = a) What is the velocity of the rock at t seconds? v(t) = -32t+170 ft/s Previe = -32t + 170 ft v(t) = b) What is the velocity of the rock when it is 170 feet above the ground on the way up Round to 2 decimal places.
A crew working with dynamite to clear a road blasted a large rock straight up into the air with an initial velocity of 170 ft/sec. The rock reaches a height of s(t): -16t² + 170t after t seconds. = a) What is the velocity of the rock at t seconds? v(t) = -32t+170 ft/s Previe = -32t + 170 ft v(t) = b) What is the velocity of the rock when it is 170 feet above the ground on the way up Round to 2 decimal places.
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...
Related questions
Question
![A crew working with dynamite to clear a road blasted a large rock straight up into the
air with an initial velocity of 170 ft/sec. The rock reaches a height of s(t)
- 16t² + 170t after t seconds.
a) What is the velocity of the rock at t seconds?
v(t) = -32t+170
Velocity going up
b) What is the velocity of the rock when it is 170 feet above the ground on the way up?
Round to 2 decimal places.
ㅠ
a
∞
Velocity going down
a
√a sin
c) What is the velocity of the rock when it is 170 feet above the ground on the way
down? Round to 2 decimal places.
d) When does the rock hit the ground?
ft/s
Time when hitting ground
ft/s
Velocity when hitting ground
ft/s
S
e) What is the velocity of the rock when it hits the ground?
=
Preview
v(t) = −32t + 170 ft/s
ft/s
Preview](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe192fe17-3d15-43f1-9083-5e30f93ccdf8%2Ff9e92f11-d037-4248-9ffc-aaf1391f5949%2Fx6pt2q8_processed.png&w=3840&q=75)
Transcribed Image Text:A crew working with dynamite to clear a road blasted a large rock straight up into the
air with an initial velocity of 170 ft/sec. The rock reaches a height of s(t)
- 16t² + 170t after t seconds.
a) What is the velocity of the rock at t seconds?
v(t) = -32t+170
Velocity going up
b) What is the velocity of the rock when it is 170 feet above the ground on the way up?
Round to 2 decimal places.
ㅠ
a
∞
Velocity going down
a
√a sin
c) What is the velocity of the rock when it is 170 feet above the ground on the way
down? Round to 2 decimal places.
d) When does the rock hit the ground?
ft/s
Time when hitting ground
ft/s
Velocity when hitting ground
ft/s
S
e) What is the velocity of the rock when it hits the ground?
=
Preview
v(t) = −32t + 170 ft/s
ft/s
Preview
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