The position of a particle which moves along a straight line is defined by the relation s = t³ 6t² 15t + 40, where s is in meters and t in seconds. A. Determine the time at which the velocity will be zero. B. Determine the acceleration of the particle at that time.

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Problem 3
A ball is shot vertically into the air at a velocity of 193.2 ft/s. After 4 sec, another
ball is shot vertically into the air. What initial velocity must the 2nd ball have to meet
the first ball 386.4 ft from the ground?
Problem 4
The position of a particle which moves along a straight line is defined by the relation s
= t³ - 6t² 15t + 40, where s is in meters and t in seconds.
A. Determine the time at which the velocity will be zero.
B. Determine the acceleration of the particle at that time.
Transcribed Image Text:Problem 3 A ball is shot vertically into the air at a velocity of 193.2 ft/s. After 4 sec, another ball is shot vertically into the air. What initial velocity must the 2nd ball have to meet the first ball 386.4 ft from the ground? Problem 4 The position of a particle which moves along a straight line is defined by the relation s = t³ - 6t² 15t + 40, where s is in meters and t in seconds. A. Determine the time at which the velocity will be zero. B. Determine the acceleration of the particle at that time.
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