Distance from Velocity Time

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Step 1

Write an expression for the distance d covered at constant velocity v over time t.

Hint

When velocity is constant, distance is simply the product of speed and time.

Solution walkthrough

When an object moves at constant velocity — meaning no speeding up, no slowing down — the three kinematic quantities (position, velocity, acceleration) simplify dramatically. Acceleration is zero, and velocity is the fixed rate at which position changes with time. That gives us the simplest possible relationship: d = v · t. Here, v = 25 m/s and t = 8 s. Multiplying gives d = 25 × 8 = 200 m. There is no need for any other equation; the whole problem collapses to a single multiplication. The trap students fall into is reaching for a more complicated formula — adding a ½at² term, for example — when there is no acceleration to account for. Galileo's odd-number rule and all of the kinematic equations reduce to this single line the moment a = 0. The answer, 200 m, is exact given the inputs.

Step-by-step solution

Write an expression for the distance d covered at constant velocity v over time t.

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