Question

A person driving her car at a speed v= 38.0 km/h approaches an intersection just as the traffic light turns yellow. She knows that the traffic light lasts only 1.5 sec, before turning to red, and she is a distance d= 30.0 m away from the near side of the intersection (see figure). The width of the intersection is w = 13.9 m. Her car's maximum deceleration is -5.50 m/s, and its maximum acceleration is 0.950 m/s2. - W - + V If she accelerates to get through the intersection, where is she with respect to the far side of the intersection when the light goes red? State your answer in metres. Take positive distances to be beyond or ahead of the intersection, and negative distances to be before or still in the intersection.

Answer 1

Distance travelled during braking Ax = (1 choo 138 x 10.129 m 2x suje u. 38 kachh. 10.5556 m 8. te 1.os a= 0.950 m² S= S = (10.5556 x 459 & 1 16.902 m o. 950 . ax 2 30 + 13.9 16.902 ax = 26.998 m It is before intersection so are = - 26.998]