GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The motion of the car is provided by the function x = 3t3+10t2+3t. Find its instantaneous acceleration at time = 2 seconds.
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56 m/s2
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32 m/s2
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26 m/s2
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76 m/s2
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Explanation:
Detailed explanation-1: -a(t)=ddtv(t). a ( t ) = d d t v ( t ) . Thus, similar to velocity being the derivative of the position function, instantaneous acceleration is the derivative of the velocity function.
Detailed explanation-2: -Hence, the instantaneous acceleration is 6 m/s.
Detailed explanation-3: -The instantaneous acceleration at t=3s t = 3 s is 30.5(m/s2) 30.5 ( m / s 2 ) .
Detailed explanation-4: -∴ Acceleration of the particle at t=2 s a∣∣∣∣∣t=2=2+12(2)=26 m/s2.
There is 1 question to complete.