Question

write the solution and answer

While driving along the highway at 40 m/s, you spot a police car 50 m ahead, traveling at a constant speed of 25 m/s which is the speed limit. You apply brakes and begin decelerating at 2 m/s2 A. Determine the time/s that you and the police will pass each others car. B. Assume that the police will give speeding ticket at the first instance that you passed each others car, will you get a ticket? If you WILL get a speeding ticket, what should be your acceleration to avoid the speeding ticket? If NOT, what was your instantaneous velocity as you passed the police car? C. If the police missed to check your speed at the first instance that you passed each other's car, will you be getting the a speeding ticket at the next instance? Justify your answer numerically.

Answer 1

Son: A) AS = ut +L at 4a-2m3) 40m/s isms. → 50 = Unt - Krom 2 AB UAB relative initial velocity of Å with respect to B. a AB acceleration of à with respect to B from B7 50 = (40-25)+ + 1 (-2)ť? 50= 15t-t2 > t - 15t+50=0. A= ssec, 10secs And first time when they will pass each other at t=ssec VA=U-at IVA VB VAB=5m/s - VA= 40-2x5 » police will give VA=30mle speeding Ticket

VA (at it closec) and time. VAB = VA = 40-2x10 VA. = 20m/s. 20-25=-5m/s. IVAB) = sms police will see a relative velocity sms for other Cas and hence Again he will provided co by a Speeding ticket"