I need help with a question in my science class. It'll to do with acceleration.
Block A is traveling at an acceleration of 12.5cm/s^2
Block B is traveling at an acceleration of 3.5cm/s^2
They are 130 cm apart.
How long will it take for block A to reach block B?
(I'd like for the formula, and explained. The answer is not really needed.)
Block A is traveling at an acceleration of 12.5cm/s^2
Block B is traveling at an acceleration of 3.5cm/s^2
They are 130 cm apart.
How long will it take for block A to reach block B?
(I'd like for the formula, and explained. The answer is not really needed.)
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You didn't mentioned the directions of the blocks.
Are they moving along the same direction or towards each other ?
Also, did they started from rest or had some initial velocities ?
Well, considering the first case (moving in same direction) and starting from rest ;
To find the time "t" in which block 'A' will reach/overtake block 'B',
We can equate the distances of the two blocks in following way,
Distance travelled by Block 'A' = 130 cm + Dist. travelled by Block 'B'
0.5 x 12.5 x (t)^2 = 130 + 0.5 x 3.5 x (t)^2
OR
0.5 x (t)^2 x (12.5 - 3.5) = 130
OR
(t)^2 = 130 / 4.5 = 28.88
OR
t = 5.37 sec.
Are they moving along the same direction or towards each other ?
Also, did they started from rest or had some initial velocities ?
Well, considering the first case (moving in same direction) and starting from rest ;
To find the time "t" in which block 'A' will reach/overtake block 'B',
We can equate the distances of the two blocks in following way,
Distance travelled by Block 'A' = 130 cm + Dist. travelled by Block 'B'
0.5 x 12.5 x (t)^2 = 130 + 0.5 x 3.5 x (t)^2
OR
0.5 x (t)^2 x (12.5 - 3.5) = 130
OR
(t)^2 = 130 / 4.5 = 28.88
OR
t = 5.37 sec.