Question

a particle moves along straight line for 10second with uniform acceleration a=2m/s², then for next 10second moves with acceleration a=4m/s². find total displacement.​

Answer 1

Answer:

500 m

Explanation:

Use the following equations of motion:

• S = ut + 0.5at²
• v = u + at

In first part (assuming particle starts from rest) :

• S = 0 + (0.5 × 2 × 10²) = 100 m

Velocity at the end of first part is

• v = 0 + (2 × 10) = 20 m/s

In second part:

• S' = (20 × 10) + (0.5 × 4 × 10²)
• S' = 200 m + 200 m
• S' = 400 m

Total displacement = S + S'

= 100 m + 400 m

= 500 m