Determine the uniform deceleration of car A

[teng125]

cars A and B are d=60m apart and traveling at u(A)=8.89 and u(B)=6.67.knowing that 45s after driver A apply his brake to avoid overtaking B,the two cars collide,determine the uniform deceleration of car A.

i have tried to form eqns using s=ut + 1/2a(t^2) for both cars and substitute into [car A-car B=60] and can't find the answer.
the answer is 0.0395.

pls help...thanx...

 

[mukundpa]

If the units of velocities of the cars is m/s, I am geting 0.1965 m/s/s.MP

 

[HallsofIvy]

Take the initial position of B to be x= 0. Its position after t seconds is given by x_B= 6.67t m. (assuming that by "u(B)= 6.67" you mean "the speed of B is 6.67 m/s. Please be complete.) A's position when t= 0 is x= -60 m. 45 s later, A's position is x_A(45)= 8.89(45)= 400.05 m. If we let "a" be A's decceleration, then A's position at time t, t> 45, is given by
x_A(t)= 400.05+ 8.89(t-45)- (a/2)(t-45)².

Just given the information that "the two cars collide" you can't determine A's decceleration. You can calculate the "greatest decceleration so that they collide"- that is, the largest value for a so that x_A(t) and x_B(t) are equal for some value of t.

 

[teng125]

i also got the same answer as urs in threat 2