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A particle is projected at a speed of 12 ms^-1 up a straight inclined track. Whilst on the

track the particle experiences a constant acceleration down the track of 5ms^-2. Find the

length of time that the particle is more than 8 metres from the point of pprojection.

[4]

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Respuesta :

onyebuchinnaji

The time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

Time of motion of the particle

The time taken for the particle to travel more than 8 meters from the point of projection is calculated as follows;

s = v₀t + ¹/₂at²

8 = 12t + (0.5 x 5)t²

8 = 12t + 2.5t²

2.5t² + 12t  - 8 = 0

solve the equation using formula method

t = 0.59 s

Thus, the time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

Learn more about time of motion here: https://brainly.com/question/2364404

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