A rock thrown vertically upward from the surface of the moon at a velocity of 24 m/sec reaches a height of s = 24t - 0.8t² meters in t sec. a. Find the rock's velocity and acceleration at time t. b. How long does it take the rock to reach its highest point? c. How high does the rock go? d. How long does it take the rock to reach half its maximum height? e. How long is the rock aloft?
A rock thrown vertically upward from the surface of the moon at a velocity of 24 m/sec reaches a height of s = 24t - 0.8t² meters in t sec. a. Find the rock's velocity and acceleration at time t. b. How long does it take the rock to reach its highest point? c. How high does the rock go? d. How long does it take the rock to reach half its maximum height? e. How long is the rock aloft?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Transcribed Image Text:A rock thrown vertically upward from the surface of the moon at a velocity of 24 m/sec reaches a
height of s=24t - 0.8t² meters in t sec.
a. Find the rock's velocity and acceleration at time t.
b. How long does it take the rock to reach its highest point?
c. How high does the rock go?
d. How long does it take the rock to reach half its maximum height?
e. How long is the rock aloft?
Expert Solution
Step 1
Introduction:
Acceleration: The rate of change of velocity with respect to time.
Velocity: the rate of change of the object's position with respect to a frame of reference and time.
Given:
velocity (v)= 24 m/sec
To Find: velocity and acceleration.
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