A car races along a straight road with a speed pf 80 MPH. Apolice car spots the

Question

A car races along a straight road with a speed pf 80 MPH. Apolice car spots the speeding vehicle, and starts (at time t =0sec) in its persuit when the speeding car is 0.5km ahead of thepolice car. The chase ends 2km later, when the police car is ableto overtake the speeding vehicle.    Given that the police car acceleratesuniformly with ap = 5 meters / sec2,what was the acceleration ac (assumed to be constant)that the driver of the speeding applied during the chase? A car races along a straight road with a speed pf 80 MPH. Apolice car spots the speeding vehicle, and starts (at time t =0sec) in its persuit when the speeding car is 0.5km ahead of thepolice car. The chase ends 2km later, when the police car is ableto overtake the speeding vehicle.    Given that the police car acceleratesuniformly with ap = 5 meters / sec2,what was the acceleration ac (assumed to be constant)that the driver of the speeding applied during the chase?

Explanation / Answer

      Initial velocity of racecar , U 1 = 80 MPH = 80 X 1.609 km/h = 128.72 km/h =128.72 X ( 5 / 18) = 35.75 m/s        Initial velocity ofpolice car , U 2 = 0       aceleration of racecar , a c = ?       initial distance between bothcars , d = 0.5 km       total distance travelled byrace car = 2 km = 2000 m       total distance travelled bypolice car = 2.5 km = 2500 m       acceleration of police car, ap = 5 m/s^2       time of race = t       S= U t + (1/2) a t2 For police car,      2500 = (1/2) (5) t2           t = 31.62 seconds For race car,       2000 = 35.75 (31.62) + (1/2) ac (31.62  ) 2            by solving the above equation, a c = 1.74 m/s^2            by solving the above equation, a c = 1.74 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.