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KinematicsPhysicsHigh schoolabout 0:55

Starting at 0 m/s, an object covers 45 m in 3 s with constant acceleration. Find its final speed and acceleration: animated lesson

A narrated, step-by-step kinematics video lesson with captions. Final answer: v = 30 m/s, a = 10 m/s².

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.4 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    Starting at 0 m/s, an object covers 45 m in 3 s with constant acceleration. Find its final speed and acceleration.
  2. 2. Step by step
    1. s=45 m,u=0 m/s,t=3 ss = 45\ \text{m},\quad u = 0\ \text{m/s},\quad t = 3\ \text{s}
      List the known quantities
    2. s=ut+12at2⇒a=2(s−ut)t2=10s = ut + \tfrac12at^2 \Rightarrow a = \frac{2(s - ut)}{t^2} = 10
      Acceleration from the displacement equation
    3. s=12(u+v)t⇒v=2st−u=30s = \tfrac12 (u + v)t \Rightarrow v = \frac{2s}{t} - u = 30
      Final velocity
  3. 3. The answer
    v=30 m/s, a=10 m/s2v = 30\ \text{m/s},\ a = 10\ \text{m/s}^2

    v = 30 m/s, a = 10 m/s²

  4. 4. Check
    • Check v² = u² + 2as: 900 = 900.

Transcript

The problem. Here is the problem: Starting at 0 m/s, an object covers 45 m in 3 s with constant acceleration. Find its final speed and acceleration. Find final velocity v and acceleration a for motion in a straight line with constant acceleration.

Step by step. List the known quantities. Unknown: final velocity v and acceleration a. Acceleration from the displacement equation. Final velocity.

The answer. So the answer is v equals 30 m/s, a equals 10 m/s squared. With constant acceleration, any three of displacement, initial velocity, final velocity, acceleration and time fix the other two. Each pair of unknowns is solved with the equation that does not contain the other unknown.

Check. Check v squared equals u squared plus 2as: 900 equals 900.

About kinematics

Motion with constant acceleration: distance, velocity and time.

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