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3 years ago

6

During a slap shot a hockey puck takes 0.5 seconds to reach the goal. It started from rest and reached final velocity of 35 m/s.

What is the pucks acceleration?

1 answer:

OLga [1]3 years ago

4 0

70 m/s²

35m/s / 0.5s = 70 m/s²

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Answer:

$v(10\,s) \approx 775.387\,\frac{m}{s}$

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Explanation:

The speed of the rocket is given the Tsiolkovsky's differential equation, whose solution is:

$v (t) = v_{o} - v_{ex}\cdot \ln \frac{m}{m_{o}}$

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$v_{ex}$ - Exhaust gas speed, in m/s.

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$m$ - Current total mass of the rocket, in kg.

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$m_{o} = 750\,kg$

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$r = -\frac{600\,kg}{30\,s}$

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The speed function of the rocket is:

$v(t) = - 2500\,\frac{m}{s}\cdot \ln \frac{750\,kg -(20\,\frac{kg}{s} )\cdot t}{750\,kg}$

The speed of the rocket at given instants are:

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