An object moves along a straight line so that at any time t , for 0≤t≤8 , its position is given by x(t)=5+4t−t2 . For what value
of t is the object at rest?
A. t = 2
B. t = 4
C. t = 9/2
D. t = 5
2 answers:
It’s ccccccccccccccccccccccc
Answer:
D. t = 5
when the object is at rest => x(t) = 0
<=> -t^2 + 4t + 5 = 0
<=> t^2 - 4t - 5 = 0
<=> (t - 5)(t + 1) = 0
=> t = 5 or t = -1
but t》0
=> t = 5
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Answer:
D. 5
Step-by-step explanation:
