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Moving to another question will save this response. Question 7 The position of a particle at time $t$ is given by $s(t) = at + bt^2$ for some constants $a$ and $b$. Suppose that at time $t = 1$ the velocity is 6 and the acceleration is 7, in suitable units. Find the position at time $t = 1$. [Hint: use the given information to solve for $a$ and $b$, then substitute.] Moving to another question will save this response.

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Question 7
The position of a particle at time $t$ is given by $s(t) = at + bt^2$ for some constants $a$ and $b$. Suppose that at time $t = 1$ the velocity is 6 and the acceleration is 7, in suitable units. Find the position at time $t = 1$.
[Hint: use the given information to solve for $a$ and $b$, then substitute.]
Moving to another question will save this response.

Moving to another question will save this response.
Question 7
The position of a particle at time t is given by s(t) = at + bt^2 for some constants a and b. Suppose that at time t = 1 the velocity is 6 and the acceleration is 7, in suitable units. Find the position at time t = 1.
[Hint: use the given information to solve for a and b, then substitute.]
Moving to another question will save this response.

Added by John S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ahmet Yavas

Step 1

The velocity is the derivative of the position function, so we can find the derivative of s(t) to get the velocity function. Taking the derivative of s(t) = at + bt, we get: s'(t) = a + b Since we know that s'(t-1) = 6, we can substitute t-1 into the velocity Show more…

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Moving to another question will save this response Question 7. The position of a particle at time t is given by s(t) = at + bt for some constants a and b. Suppose that at time t-1 the velocity is 6 and the acceleration is 7, in suitable units. Find the position at time t = 1. [Hint: use the given information to solve for a and b, then substitute.] Moving to another question will save this response.