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t=4s2. A boat accelerates at a rate of 6.0 m/s down the river. How much time will it takethe boat to speed up to 70 m/s?

t=4s2. A boat accelerates at a rate of 6.0 m/s down the river. How much time will-example-1

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In order to calculate the amount of time needed for the boat to speed up to 70 m/s, we can use the formula (EQUATIONS):


V=V_0+a\cdot t

Where V is the final speed, V0 is the initial speed, a is the acceleration and t is the time.

(GIVEN) So, for V = 70, V0 = 0 and a = 6, we can calculate the value of t (UNKNOWN):

(SETUP):


\begin{gathered} 70=0+6\cdot t \\ 6t=70 \\ t=(70)/(6) \\ t=11.67\text{ s} \end{gathered}

Therefore it will take 11.67 seconds (SOLVE).

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