an object travelling at 35.3 m/s experience a displacement of 346 m after uniform accelaration for 8.9s. What was its accelaration?
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Answer:
Acceleration of the object = 0.78 m/s²
Explanation:
Initial Velocity of the object = u = 35.3 m/s
Displacement of the object = s = 346 m
Uniform acceleration = a = ?
Time for which object is accelerated = 8.9s
From the equation -
s = (u * t) + (1/2 * a * t²)
346 = 35.3 * 8.9 + 1/2 * a * (8.9)²
346 = 35 * 9 + 1/2 * a * (9)²
346 = 314 + 1/2 * a * 81
346 - 314 = 81/2 * a
32 * 2/81 = a
a = 64/81 m/s²
a = 7/9 m/s²
a = 0.78 m/s²
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