How Do You Calculate Acceleration and Time in Kinematics?

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To calculate acceleration in kinematics, the formula a = (v_f - v_i) / (t_f - t_i) can be applied, where v_f is the final velocity and v_i is the initial velocity. Given the velocities of 55.8 m/s at x = 5.5 m and 100.4 m/s at x = 10.5 m, the acceleration can be determined using these values. The time taken for the particle to accelerate from 55.8 m/s to 100.4 m/s can be calculated once acceleration is known. Additionally, to find the velocity at x = 27.3 m, the kinematic equations can be utilized. Understanding these calculations is essential for solving kinematic problems effectively.
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An object moving with constant acceleration has ve-
locity v = 55.8 m/s when it is at x = 5.5 m and v = 100.4 m/s
when it is at x = 10.5 m. What is its acceleration?

How much time does it take for the particle to accel-
erate from 55.8 m/s to 100.4 m/s?

How fast will the particle be moving when it is located
at x = 27.3 m ?
 
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