Fiona has met her goal of exercising 150 minutes a week. She has kept it up for six months and is sure that it is now solidly pa
rt of her week
routine. Since she feels successful, she does not think that she needs to reflect. What is the BEST advice for Fiona?
A.
She does not need to reflect since she is content.
B. She needs to see whether her doctor thinks she is doing enough.
OC.
She clearly reflected before she started her routine, so she is done.
OD. She should reflect and see if there is anything she can improve on.
routine. Since she feels successful, she does not think that she needs to reflect. What is the BEST advice for Fiona?
A.
She does not need to reflect since she is content.
B. She needs to see whether her doctor thinks she is doing enough.
OC.
She clearly reflected before she started her routine, so she is done.
OD. She should reflect and see if there is anything she can improve on.
1 answer:
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Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
