Solve the problem. Give the answer to the nearest tenth.
-The position of an object moving in a straight line is given by where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth)will it take the object to move 8
Meters?
A)9.0 sec
B)2.9 sec
C)10.4 sec
D)2.7 sec

Question

Solve the problem. Give the answer to the nearest tenth.
-The position of an object moving in a straight line is given by  where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth)will it take the object to move 8
Meters?
A)9.0 sec 
B)2.9 sec 
C)10.4 sec 
D)2.7 sec

Quizplus · Accepted Answer

To solve the problem, we need to set the equation for s equal to 8 and solve for t:

11ebbb8f_b958_4882_bcf2_09e794da2f35_TB8306_11 = 8

Simplifying the equation and solving for t, we get:

t ≈ 2.9 seconds

Therefore, the answer is B) 2.9 sec rounded to the nearest tenth. We need to set the position equation equal to 8 meters and solve for t:
11ebbb8f_b958_4882_bcf2_09e794da2f35_TB8306_11 = 8
10t^2 - 30t + 18 = 0
Using the quadratic formula, we get:
t ≈ 2.9 sec or t ≈ 1.9 sec (not possible since time cannot be negative)
Therefore, it will take the object approximately 2.9 seconds to move 8 meters. The answer is closest to choice B.

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