Answer:
The final velocity of the object is, [tex]v_{f}[/tex] = 27 m/s
Explanation:
Given,
The acceleration of the object, a = 1000 m/s²
The initial displacement of the object, [tex]x_{i}[/tex] = 0 m
The final displacement of the object, [tex]x_{f}[/tex] = 0.75 m
The initial velocity of the object will be, [tex]v_{i}[/tex] = o m/s
The final velocity of the object, [tex]v_{f}[/tex] = ?
The average velocity of the object,
v = ( [tex]x_{f}[/tex] - [tex]x_{i}[/tex] )/ t
= 0.75 / t
The acceleration is given by the relation
a = v / t
1000 m/s² = 0.75 / t²
t² = 7.5 x 10⁻⁴
t = 0.027 s
Using the I equation of motion,
[tex]v_{f}[/tex] = u + at
Substituting the values
[tex]v_{f}[/tex] = 0 + 1000 x 0.027
= 27 m/s
Hence, the final velocity of the object is, [tex]v_{f}[/tex] = 27 m/s
