The acceleration of an object as a function of time is given by a(t) = (1.00 m/s2)t2. If displacement of the object between time and time t = 2.00 s is 15.0 m, what is the velocity of the object at time t = 0.00 s?
a-13.5 m/s
b-Not enough information is given to determine the velocity of the object at time t = 0.00 s.
c-6.25 m/s
d-3.75 m/s
1.25 m/s

Respuesta :

not enough information is given to determine the velocity of the object at time to=0.00s

The velocity of the object at t = 0, whicg is the initial velocity of the object is determined as 6.5 m/s.

Velocity of the object

The velocity of the object is calculated as follows;

s = vt + ¹/₂at²

where;

  • v is the velocity of the object at t = 0 s
  • a is the acceleration  

The velocity of the object at t = 0, is the initial velocity of the object and it is determined as follows;

15 = v(2) + 0.5(1) x (2)²

15 = 2v + 2

13 = 2v

v = 13/2

v = 6.5 m/s

Thus, the velocity of the object at t = 0, whicg is the initial velocity of the object is determined as 6.5 m/s.

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