A volcano lobs a lava blob straight upward with an initial speed of 23.5 m/s.  Neglect air resistance and take upwards as the positive direction for position and velocity. (a) Find the velocity and height (above the volcano) of the lava blob 2.05 s after it is lobbed in the air. (answer: v = + 3.39 m/s; y = 27.6 m) (b) Find the velocity and height (above the volcano) of the lava blob 3.00 s after it is lobbed in the air. (answer: v = - 5.93 m/s; y = 26.4 m) (b) How high does the lava blob rise to? (answer: 28.1 m) (c) How long does it take the lava blob to reach its maximum height? (answer: 2.40 s)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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 A volcano lobs a lava blob straight upward with an initial speed of 23.5 m/s.  Neglect air resistance and take upwards as the positive direction for position and velocity.

(a) Find the velocity and height (above the volcano) of the lava blob 2.05 s after it is lobbed in the air. (answer: v = + 3.39 m/s; y = 27.6 m)

(b) Find the velocity and height (above the volcano) of the lava blob 3.00 s after it is lobbed in the air. (answer: v = - 5.93 m/s; y = 26.4 m)

(b) How high does the lava blob rise to? (answer: 28.1 m)

(c) How long does it take the lava blob to reach its maximum height? (answer: 2.40 s)

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