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VikaD [51]
3 years ago
13

An object increases vert its velocity from 22M/S 236M/S and five seconds. What is the acceleration of the object

Physics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

\boxed {\boxed {\sf a=42.8 \ m/s^2}}

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

a=\frac{v-u}{t} (<em>v </em>is the final velocity, <em>u</em> is the initial velocity, <em>t </em>is the time).

The velocity increased from 22 m/s to 236 m/s in 5 seconds. Therefore:

v=236 \ m/s\\u=22 \ m/s\\t= 5 \ s

Substitute the values into the formula.

a=\frac{236 \ m/s - 22 \ m/s}{5 \ s}

Subtract in the numerator.

  • 236 m/s-22 m/s=214 m/s

a=\frac{214 \ m/s}{5 \ s}

Divide.

a=42.8 \ m/s^2

The acceleration of the object is <u>42.8 meters per square second.</u>

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The initial velocity of car A is 35.0 km/hr i.e

                                         35.0\ km/hr=35*\frac{5}{18} m/s

                                                                   = 9.72 m/s

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The initial velocity of car C is 32 km/hr = 8.89 m/s

The initial velocity of car D is 110 km/hr=30.56 m/s

The acceleration of car A is given as  25\ km/hr^2

                                            =\ 25*\frac{1000}{3600*3600} m/s^2

                                            =0.00192901234 m/s^2

The time taken by car A = 15 min.

From equation of kinematics we know that-

                                 v= u+at      [Here v is the final velocity and a is the acceleration and t is the time]

Final velocity of A,  v = 9.72 m/s +[0.00192901234×15×60]m/s

                                   =11.456111106 m/s

The acceleration of B is given as    15\ km/hr^2

                                    =0.00115740740740 m/s^2

The time taken by car B =20 min

The final velocity of B is -

                             v= u+at

                               = u-at    [Here a is negative due to deceleration]

                               =12.5 m/s +[0.0011574074074×20×60]

                               =13.8888888.....

                               =13.9

The acceleration of C is given as    40\ km/hr^2          

                                                            =\ 0.003086419753 m/s^2

The time taken by car C =30 min

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                                v = u+at

                                   =8.89 m/s+[0.003086419753×30×60] m/s

                                   =14.4455555555..m/s

                                   =14.45 m/s

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                                                                      =0.0046296296296m/s^2

The time taken by car D= 45 min.

The final velocity of the car D is-

                     v =u+at

                        =30.56 -[0.00462962962962×45×60]m/s

                        =18.06 m/s

Hence from above we see that the magnitude of final velocity car C and B is close to 15 m/s. The car C is very close as compared to car B.

                 


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