Question

A- 1000 m/s2 Xi-0m Xf-0.75m Vf-?

Answer 1

Answer:

The final velocity of the object is,  $v_{f}$ = 27 m/s    

Explanation:

Given,

The acceleration of the object, a = 1000 m/s²

The initial displacement of the object, $x_{i}$ = 0 m

The final displacement of the object,  $x_{f}$ = 0.75 m

The initial velocity of the object will be, $v_{i}$ = o m/s

The final velocity of the object, $v_{f}$ = ?

The average velocity of the object,

                                    v = ( $x_{f}$ - $x_{i}$ )/ 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,

                                  $v_{f}$ = u + at

Substituting the values

                                   $v_{f}$ = 0 + 1000 x 0.027

                                                           = 27 m/s

Hence, the final velocity of the object is,  $v_{f}$ = 27 m/s