This time particle A starts from rest and accelerates to the right at 65.5 cm/s
2
. Particle
B starts 349 cm down the track and moves at
a constant velocity of 44 cm/s to the left.
When will they meet?
Answer in units of s.

Respuesta :

Answer:

t = 4 s

Explanation:

As we know that the particle A starts from Rest with constant acceleration

So the distance moved by the particle in given time "t"

[tex]d = v_i t + \frac{1}{2}at^2[/tex]

[tex]d = 0 + \frac{1}{2}(65.5)t^2[/tex]

[tex]d_1 = 32.75 t^2 cm[/tex]

Now we know that B moves with constant speed so in the same time B will move to another distance

[tex]d_2 = 44 \times t [/tex]

now we know that B is already 349 cm down the track

so if A and B will meet after time "t"

then in that case

[tex]d_1 = 349 + d_2[/tex]

[tex]32.75 t^2 = 349 + 44 t[/tex]

on solving above kinematics equation we have

[tex]t = 4 s[/tex]