A weather balloon is released and rises vertically such that its distance s(1) above the ground during the first 10 seconds of flight is given by s(t) = 6 + 2t + r', where s(t) is in feet and t is in seconds. (a) Find the velocity of the balloon at t = 1, t = 4 and I- 8. (b) Find the velocity of the balloon at the instant that it is 50 feet above the ground.

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section2.3: Acceleration
Problem 2.4CE: If the car in the preceding example continues to accelerate at the same rate for an additional 3.0...
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A weather balloon is released and rises vertically such
that its distance s(1) above the ground during the first
10 seconds of flight is given by s(t) = 6 + 2t + r', where
s(t) is in feet and t is in seconds.
(a) Find the velocity of the balloon at t = 1, t = 4 and
I- 8.
(b) Find the velocity of the balloon at the instant that
it is 50 feet above the ground.
Transcribed Image Text:A weather balloon is released and rises vertically such that its distance s(1) above the ground during the first 10 seconds of flight is given by s(t) = 6 + 2t + r', where s(t) is in feet and t is in seconds. (a) Find the velocity of the balloon at t = 1, t = 4 and I- 8. (b) Find the velocity of the balloon at the instant that it is 50 feet above the ground.
A ball rolls down an inclined plane such that the distance
(in cm) it rolls in t seconds is given by s(t) 2r + 3r +4,
where 0 sis 3 (see figure).
(a) What is the velocity of the ball at t= 2?
(b) At what time is the velocity 30 cm/sec?
-s(t)-
Transcribed Image Text:A ball rolls down an inclined plane such that the distance (in cm) it rolls in t seconds is given by s(t) 2r + 3r +4, where 0 sis 3 (see figure). (a) What is the velocity of the ball at t= 2? (b) At what time is the velocity 30 cm/sec? -s(t)-
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