Paragraph for Questions 1 and 2: A particle starting from rest has a constant acceleration of 4 $m/s^{2}$ for 4 s. It then retards uniformly for the next 8 s and comes to rest.
Magnitude of average velocity $($ in ms $^{- 1})$ of the particle for a time interval from $t = 0$ to $t = 8 s$ is

Question

Paragraph for Questions 1 and 2: A particle starting from rest has a constant acceleration of 4 $m/s^{2}$ for 4 s. It then retards uniformly for the next 8 s and comes to rest.

Magnitude of average velocity $($ in ms $^{- 1})$ of the particle for a time interval from $t = 0$ to $t = 8 s$ is

TestHub · Accepted Answer

Retardation: 0 = 16 − a × 8 ⇒ a = 2 m/s 2 Displacement from t = 0 to 4 s: s 1 ​ = 2 1 ​ × 4 × 16 = 32 m Displacement from t = 4 to 8 s: s 2 ​ = 16 × 4 − 2 1 ​ × 2 × 4 2 = 64 − 16 = 48 m ∣ Average velocity ∣ = 8 32 + 48 ​ = 8 80 ​ = 10 m/s Answer: 10.00

Physics - Kinematics Question with Solution | TestHub

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