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jeka94
2 years ago
8

a truck starts from rest and accelerates for 25 seconds to reach a velocity of 60m/s . calculate the rate of acceleration for th

e truck
Physics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

2.4m/s²

Explanation:

Given parameters:

Initial velocity  = 0m/s

Time 25s

Final velocity  = 60m/s

Unknown:

Acceleration  = ?

Solution:

Acceleration is the rate of change of displacement

      Acceleration  = \frac{Final velocity  - Initial velocity}{time}

    Acceleration  = \frac{60 - 0}{25}    = 2.4m/s³

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The speed of the toy when it hits the ground is 2.97 m/s.

The given parameters;

  • mass of the toy, m = 0.1 kg
  • the maximum height reached by the, h = 0.45 m

The speed of the toy before it hits the ground will be maximum. Apply the principle of conservation of mechanical energy to determine the maximum speed of the toy.

P.E = K.E

mgh_{max} = \frac{1}{2} mv_{max}^2\\\\gh_{max} = \frac{1}{2} v_{max}^2\\\\v_{max}^2= 2gh_{max}\\\\v_{max} = \sqrt{2gh_{max}}

Substitute the given values and solve the speed;

v_{max} = \sqrt{2\times 9.8 \times 0.45} \\\\v_{max} = 2.97 \ m/s

Thus, the speed of the toy when it hits the ground is 2.97 m/s.

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2 years ago
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3 years ago
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We now have an algebraic expression with only one variable, which can be solved. Once we have that, we can plug it back into one
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Answer:

A=1

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Explanation:

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2A+3(3A-5)=-4

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