1. A police car is trying to track down a freight car before it canrendezvous wi
ID: 1762830 • Letter: 1
Question
1. A police car is trying to track down a freight car before it canrendezvous with an U-Haul
truck. The police car traveling at 60mph is trailing the freightcar which is traveling at 45mph.
The police car is 2640 feet behind the freight car. The U-Haul isheaded straight towards the
oncoming police car and freight car at a speed of 20mph, and startsat a distance of 3 miles
from the police car.
a) What is the speed of the freight car with respect to the policecar?
b) What is the speed of the police car with respect to the U-Haultruck?
c) Will the police car catch the freight car in time? And if so,how long will it take?
Explanation / Answer
a) What is the speed of the freight car with respect to thepolice car.. = 60mph-45mph = 15mphb) What is the speed of the police car with respect to the U-Haultruck? = 60mph-20mph = 40mph
c) Will the police car catch the freight car in time? And ifso, how long will it take? time taken by the police car to meet freighs car t = d / v d= 2640 ft = 2640 * 0.3048 meters v = 15 mph = 15 *1.6093 m / 3600 sec pluggin inthe above relation we can solve for time t . distancecovered by the police car during the chase for a timet d = vp / t . vp= velocity of police car distance of U-Haul truck at the end of the chase S = 3 miles + vU / t vU = velocity of U- Hul truck . if S > d, the chase ofpolivce car will finish before it reaches U-haul truck or else S<d , the police carwill corss U-haul during the chase. if S =d the chase will be complete by the time thepolice car and frieghs car reaches U-Haul truck .
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.