A) Find its velocity as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t. B) Find its position as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t. C) Calculate the maximum velocity it attains. Letters A and B are not allowed in the answer. Express your answer in meters per second.

A) Find its velocity as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t. B) Find its position as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t. C) Calculate the maximum velocity it attains. Letters A and B are not allowed in the answer. Express your answer in meters per second.

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Question

Find its velocity as a function of time. Letters A and B are not allowed in the answer.

Express your answer in terms of t.

Find its position as a function of time. Letters A and B are not allowed in the answer.

Express your answer in terms of t.

Calculate the maximum velocity it attains. Letters A and B are not allowed in the answer.

Express your answer in meters per second.

The acceleration of a motorcycle is given by \( a_x(t) = At - Bt^2 \), where \( A = 1.50 \, \text{m/s}^3 \) and \( B = 0.120 \, \text{m/s}^4 \). The motorcycle is at rest at the origin at time \( t = 0 \).

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