Question

Can you please help me with this question what should you set as the speed limit (i.e., initial velocity of the car) so that the braking distance is 17 feet or less (round to the nearest foot per second)? feet per second

Answer 1

31 feet per second

Step-by-step explanation

The equation for the braking distance is,

`d=0.018268\cdot V^2_o`

In this problem, we have to find the maximum initial velocity Vo, for d = 17 feet.

Solving the equation above for Vo,

`V_o=\sqrt[]{(d)/(0.018268)}=\sqrt[]{(17)/(0.018268)}=30.505557ft/s\approx31ft/s`

Hence, the speed limit should be 31 feet per second.