The maker of an automobile advertises that it takes seconds to accelerate from kilometers per hour to kilometers per hour. Assuming constant acceleration, compute the distance, in meters, the car travels during the seconds. Round your answer to two decimal places.
A) m
B) m
C) m
D) m
E) m

Question

The maker of an automobile advertises that it takes  seconds to accelerate from  kilometers per hour to  kilometers per hour. Assuming constant acceleration, compute the distance, in meters, the car travels during the  seconds. Round your answer to two decimal places.
A) m 
B) m 
C) m 
D) m 
E) m

Quizplus · Accepted Answer

We can use the formula: $d = \frac{1}{2}at^2 + v_it$ where $d$ is distance, $a$ is acceleration, $t$ is time, and $v_i$ is initial velocity. We need to convert the given speeds of 11 km/h to m/s, which is $\frac{11}{3.6} = \frac{55}{18}$.

Using the formula, we have: $d = \frac{1}{2}at^2 + v_it = \frac{1}{2}\left(\frac{\frac{55}{18}}{11}-0ight)(11)^2 + 0(11) = \frac{1}{2}\cdot\frac{55}{18}\cdot11 \approx \boxed{	extbf{(C) }11eaa595_658a_16c8_a696_3391fb7eff8d_TB4584_11_TB4584_11	ext{ m}}$.

The Maker of an Automobile Advertises That It Takes