ROBLEM SET \#2 - Linear Motion 1. An object moves along the \( x \)-axis; its position is given by \( x(t)=t^{3}-4 t^{2}+5 \) meters. What is the object's acceleration at \( t=2 \) seconds?
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The position of the object is given by \( x(t) = t^3 - 4t^2 + 5 \). Show more…
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An object's position is described by the following polynomial for 0 to 20 seconds: s = 3t^2 + 15t + 8, where s is in meters, and t is in seconds. Positive is forward. Determine: 1. The object's velocity as a function of time. 2. The object's acceleration as a function of time. 3. The velocities at the times when the object returned to its starting position. 4. The times when the object was moving backward. 5. The time when the acceleration took zero value.
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(II) The position of an object is given by $x=A t+B t^{2}$ , where $x$ is in meters and $t$ is in seconds. $(a)$ What are the units of $A$ and $B ?(b)$ What is the acceleration as a function of time? (c) What are the velocity and acceleration at $t=5.0 \mathrm{s} ?$ (d) What is the velocity as a function of time if $x=A t+B t^{-3} ?$
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