Let v(t)=t^2-2t be the velocity, in feet per second, of an object at time t, in seconds.

Shannon Andrews

Shannon Andrews

Answered question

2022-07-25

Let v ( t ) = t 2 2 t be the velocity, in feet per second, of an object at time t, in seconds.
a What is the initial velocity initial velocity?
Initial velocity=?
b) When does the object have a velocity of zero? If there Is more than one time, list all answers in a comma separated list.
t = ?
c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct.
A. This is how much the object has moved in 4 seconds.
B. This is the object's velocity in 4 hours
C. In this number of hours the velocity will be 4 t/sec.
D. This is the object's velocity in 4 seconds.
E. This is the average velocty of the object over the 4 second interval.
F. In this number of seconds the object will have moved 4 ft.
G. None of the above.

Answer & Explanation

Julianna Bell

Julianna Bell

Beginner2022-07-26Added 19 answers

Step 1
a) Initial velocity = v ( 0 )
= 0 2 2 0
= 0 feet per second
Step 2
b) v ( t ) = 0
t 2 2 t = 0
t ( t 2 ) = 0
t = 0 , 2
Step 3
c) Correct option is D

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