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A mass on a spring vibrates horizontally on a smooth, level surface as shown in the figure. Its equation of motion is x(t) = 4 sin⁡(t), where t is measured in seconds and x in centimeters. (a) Find the velocity and acceleration at time t. v(t) = a(t) = (b) Find the position, velocity, and acceleration of the mass at time t = 2π/3. x(2π 3) = v(2π 3) = a(2π 3) = In what direction is the mass moving at that time? Since v(2π 3) 0, the mass is moving to the

A mass on a spring vibrates horizontally on a smooth, level surface as shown in the figure. Its equation of motion is x(t) = 4 sin⁡(t), where t is measured in seconds and x in centimeters. (a) Find the velocity and acceleration at time t. v(t) = a(t) = (b) Find the position, velocity, and acceleration of the mass at time t = 2π/3. x(2π 3) = v(2π 3) = a(2π 3) = In what direction is the mass moving at that time? Since v(2π 3) 0, the mass is moving to the

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A mass on a spring vibrates horizontally on a smooth, level surface as shown in the figure. Its equation of motion is x ( t ) = 4 sin ⁡ ( t ) , where t is measured in seconds and x in centimeters. (a) Find the velocity and acceleration at time t .
v ( t ) = ◻ a ( t ) = ◻
(b) Find the position, velocity, and acceleration of the mass at time t = 2 π / 3 .
x ( 2 π 3 ) = ◻ v ( 2 π 3 ) = ◻ a ( 2 π 3 ) = ◻
In what direction is the mass moving at that time? Since v ( 2 π 3 ) ? ∨ 0 , the mass is moving to the − ⋯ Select − ✓ . ◻

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