Is the textbook answer for acceleration and distance correct?

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The discussion centers on the physics problem involving acceleration and distance under varying force and mass conditions. When the mass is doubled and the force is increased to five times its original value, the new acceleration is calculated as a' = (5/2)a. The textbook claims that the distance covered becomes d' = 2.5d, which is disputed by the participants who argue that the initial velocity must be considered. The resolution hinges on whether the initial velocity is assumed to be zero, which is not explicitly stated in the problem.

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Here's the problem. A force F gives an acceleration to an object of a given mass.

a) If this mass is doubled and five times the force is applied, what is the current acceleration of the object.

b) How will this change the distance covered by this object over a given interval of time?

My textbook gives the answer for part b) as d'=2.5d

However, When I set a time and an initial velocity and work it out, the result doesn't come to 2.5. Am I screwing up or is my textbook wrong?
 
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F=ma
a=\frac{F}{m}
5F=2ma'
a'=\frac{5F}{2m}
a'=\frac{5}{2}*a
Assuming the initial velocity of the mass, u = 0.
d=\frac{1}{2}at^2
d\ '=\frac{1}{2}a't^2
d\ '=\frac{1}{2}*\frac{5}{2}*a*t^2
d\ '=\frac{5}{2}*d
 
Yes, but the problem doesn't state that the object is at rest, so can we just automatically assume that it is?
 

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