Question

An object moves with the following equation of motion: x(t) = αt + βt3 − γt5...

An object moves with the following equation of motion:

x(t) = αt + βt3 − γt5 with the constants α = 1 m/s, β = 2.5 m/s3 , and γ = 1.5 m/s5

What is the object’s acceleration at t = 0.5s?

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Answer #1

Concept - differentiate the position to find the velocity and differentiate the velocity to find the acceleration and then put the values of time and other constants to find the value as shown below***********************************************************************************************
This concludes the answers. If there is any mistake or omission, let me know immediately and I will fix it....

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