Final answer:
Upon calculating the displacement using the given initial and final velocities, and acceleration, the result was found to be 30 m. However, this does not match any of the provided answer choices, suggesting there may be a mistake in the question or the answer options.
Step-by-step explanation:
To find the displacement, we can use the following kinematic equation:
s = ut + \frac{1}{2}at^2
where:
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- s is the displacement
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- u is the initial velocity
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- a is the acceleration
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- t is the time
Firstly, we need to convert the final velocity to meters per second:
36 km/hr = 36 * (1000 m / 3600 s) = 10 m/s
Now, we use the equation v = u + at to solve for time t:
10 m/s = 5 m/s + 1.25 m/s^2 * t
t = (10 m/s - 5 m/s) / 1.25 m/s^2
t = 4 s
Using t = 4 s in the displacement equation:
s = 5 m/s * 4 s + 1/2 * 1.25 m/s^2 * (4 s)^2
s = 20 m + 0.625 m/s^2 * 16 s^2
s = 20 m + 10 m
s = 30 m
However, the given answer options do not include 30 m, which may indicate a mistake in the question or the provided answer choices. Please double-check the given values and the question to ensure accuracy.