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(Solved): Let \( s(t)=2 t^{2}-8 t-6 \) for \( 0 \leq t \leq 9 \) denote the position of an object moving alon ...




Let \( s(t)=2 t^{2}-8 t-6 \) for \( 0 \leq t \leq 9 \) denote the position of an object moving along a line. Find
- The veloc
Let \( s(t)=2 t^{2}-8 t-6 \) for \( 0 \leq t \leq 9 \) denote the position of an object moving along a line. Find - The velocity at time \( t \) is - The acceleration at time \( t \) is - Find the initial position and the ending position - Find the total distance traveled by the object - Find where the volocity is positive Use interval notation. - Find where the acceleration is positive Use interval notation. If the answer includes more than one interval write the intervals separated by the "union" symbol, U. If needed enter \( \infty \) as iNF and \( -\infty \) as -INF.


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S(t)=2t^2-8t-6 Now find the velocity v(t)=ddts(t)=ddt(2t2?8t?6)=4t?8 And acceleration at time t a(t)=ddtv(t)=ddt(4t?8)=4
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