A monorail starts from rest and accelerates at a rate of 2.2m/s2 for 10s.Then it runs at a constant speed for 74s and then slows down at a rate of 1.5m/s2

Respuesta :

Answer:

d = 4217 m

Explanation:

Case 1.

Initial velocity, u = 0

Acceleration, a = 2.2 m/s²

Let d₁ is the distance in case 1. Using second equation of motion as follows :

[tex]d_1=ut+\dfrac{1}{2}a_1t_1^2\\\\\text{Here, u =0}\\\\d_1=\dfrac{1}{2}\times 2.2\times 10^2\\\\d_1=110\ m[/tex]

Let d₂ in the distance in case 2. Using second equation of motion as follows :

[tex]d_2=ut+\dfrac{1}{2}a_2t_2^2\\\\\text{Here, u =0}\\\\d_2=\dfrac{1}{2}\times 1.5\times 74^2\\\\d_2=4107\ m[/tex]

Total distance,

D = d₁ + d₂

D = 110 + 4107

D = 4217 m

Hence, the total distance covered is 4217 m.