At t = 0, car A passes a milepost at constant speed v A . Car B passes the same

Question

At t = 0, car A passes a milepost at constant speed vA. Car B passes the same milepost at constant speed vB > vA after a time interval ?thas elapsed.

At t = 0, car A passes a milepost at constant speed v_A. Car B passes the same milepost at constant speed v_B > v_A after a time interval Delta t has elapsed. At what instant does car B catch up to car A? Express your answer in terms of v_A, v_B, and Delta t. How far past the milepost does this happen? Express your answer in terms of v_A, v_B, and Delta t.

Explanation / Answer

here,

speed of car A is vA

and speed of car B is vB

a)

let the time taken be t and the distance travelled by cars after the milepsot be d

vA * ( t + dt) = d ...(1)

and

vB * ( t) = d ....(2)

from (1) and (2)

vA * dt /( vB - vA) = t

the time taken by car B is vA * dt /( vB - vA)

B)

the distance of the milespot is d = vB * t

d = vB * vA * dt /( vB - vA)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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