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s2008m [1.1K]
2 years ago
8

A car accelerates at a constant rate of 3 m/s2 for 5 seconds. If it reaches a velocity of 27 m/s, what was its initial velocity?

Physics
1 answer:
Kaylis [27]2 years ago
4 0

The initial velocity of a car that accelerates at a constant rate of 3m/s² for 5 seconds is 12m/s.

CALCULATE INITIAL VELOCITY:

The initial velocity of the car can be calculated by using one of the equation of motion as follows:

V = u + at

Where;

  • V = final velocity (m/s)
  • u = initial velocity (m/s)
  • a = acceleration due to gravity (m/s²)
  • t = time (s)

According to this question, a car accelerates at a constant rate of 3 m/s² for 5 seconds. If it reaches a velocity of 27 m/s, its initial velocity is calculated as follows:

u = v - at

u = 27 - 3(5)

u = 27 - 15

u = 12m/s.

Therefore, the initial velocity of a car that accelerates at a constant rate of 3m/s² for 5 seconds is 12m/s.

Learn more about motion at: brainly.com/question/974124

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A 1200 kg car starts from rest and travels 100m in a time of 10 seconds . A) what is the acceleration of the car? B) what force
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Given:
Mass (m) = 1200 kg
Distance (s) = 100 m
Time (t) = 10 seconds
Now,
velocity (v) =  \frac{distance}{time}

                         = \frac{100~ m}{10~seconds}

                         = 10 m/s
<span><u>Note that this one is the final velocity.</u></span><u />
We also know that, 
initial velocity (u) = 0 m/s .......<span> because the car starts from rest.
</span>Now,
acceleration (a)= \frac{change~in~velocity}{time}

                               = \frac{v-u}{t}

                               = \frac{10-0}{10}

                               = 1 m/s²
Now,
Force (F) = mass (m) * acceleration (a)
                = 1200 kg * 1 m/s²
                = 1200 kg.m/s²
                = 1200 N
Now,
Work Done (W) = Force (F) * displacement (s) ....<span>note that displacement is                                                                                                      same as distance.
</span><span>                          = 1200 N * 100 m
</span>                          = 120000 N.m
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SO,
 A) The acceleration of the car is 1 m/s².
 B) 1200 Newton (N) force must have acted on the car.
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