Assume you are driving at the speed limit v0. as youapproach an intersection 22.0 m wide, you see the light turnyellow. during your reaction time of 0.600 s, you travel atconstant speed as you recognize the warning, decide whether to stopor to go through the intersection, and move your foot to the brakeif you must stop. your car has good brakes and can accelerate at-2.40 m/s2. before it turns red, the light should stayyellow long enough for you to be able to get to the other side ofthe intersection without speeding up, if you are too close to theintersection to stop before entering it.
(a) find the required timeinterval δty that the light should stay yellow interms of v0.
(b) v0= 8.00 m/s = 28.8 km/h.
(c) v0 = 11.0 m/s = 40.2km/h.
(d) v0 = 18.0 m/s = 64.8 km/h.
(e)v0 = 25.0 m/s = 90.0 km/h. what if?
(f) v0 approaching zero.
(g) v0approaching infinity.
(h) describe the pattern of variation ofδty with v0. you may wish also to sketcha graph of it. account for the answers to parts (f) and (g)physically.
(i) for what value of v0 wouldδty be minimal.
(j) what is the minimum timeinterval? suggestion: you may find it easier to do part (a) afterfirst doing part (b).