Velocity of a particle at t = 0 s is −8 m/s, initial acceleration at t = 0 s is −6 m/s². Acceleration changes uniformly; final acceleration at t = 10 s is −1 m/s².
The magnitude of velocity of the particle from t = 0 s to t = 10 s:
Velocity of a particle at t = 0 s is −8 m/s, initial acceleration at t = 0 s is −6 m/s². Acceleration changes uniformly; final acceleration at t = 10 s is −1 m/s².
The magnitude of velocity of the particle from t = 0 s to t = 10 s:
Explanation: The magnitude of velocity (speed) increases when velocity and acceleration have the same sign. Here v₀ = −8 m/s (negative) and acceleration is also negative throughout (−6 to −1 m/s²). Since both share the same sign, the particle keeps speeding up. Hence the magnitude of velocity continuously increases from 8 m/s to 43 m/s over the 10-second interval.