Question

Let s(t)=−2t²+2t+8 where s represents the position (displacement), at time t, of an object moving on a straight line, where t is measured in seconds. Consider such an object over the time interval [0,1]. Determine the position of the object at t=0 and t=1.
The object's position at t=0 is

Answer 1

To determine the position of the object at t = 0, we can plug in 0 for t in the function s(t) = -2t²+2t+8.

s(0) = -2(0)²+2(0)+8

s(0) = 0 + 0 + 8

s(0) = 8

The object's position at t = 0 is 8.

To determine the position of the object at t = 1, we can plug in 1 for t.

s(1) = -2(1)²+2(1)+8

s(1) = -2+2+8

s(1) = 8

The object's position at t = 1 is 8.

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