Question

Assuming all the values given are exact, what is Emmy's velocity at a time of 3.53 s? Enter your answer to at least three significant digits.

Answer 1

Emmy's velocity at a time of 3.53 s, using the equation v(t) = 3.0 + 1.5t² m/s, is 21.7 m/s when rounded to three significant digits.

Step-by-step explanation:

To determine Emmy's velocity at a time of 3.53 s, we use the given velocity-time equation v(t) = 3.0 + 1.5t² m/s.

Taking t = 3.53 s, we substitute this into the equation:

v(3.53 s) = [3.0 + 1.5(3.53)²] m/s

v(3.53 s) = 3.0 m/s + 1.5 × 12.4609 m/s

v(3.53 s) = 3.0 m/s + 18.69135 m/s

v(3.53 s) = 21.69135 m/s

Round this to three significant digits gives 21.7 m/s, as each of the values given in the problem has three significant figures.