Question

a particle starts to move with initial velocity 10 m/s and under uniform retardation 2 cm/s^2. find
(i) time to travel a distance of 24 cm;
(ii) velocity after travelling a distance of 11 cm

Answer 1

GIVEN :

• Initial velocity, u = 10 m/s.
• Uniform retardation = 2 cm/s².

FORMULAS USED :

• S = ut + 1/2 at²
• V = u² + 2as

TO FIND :

1. Time to travel a distance of 24 cm.
2. Velocity after travelling a distance of 11 cm.

SOLUTION :

1) Time to travel a distance of 24 cm.

Using the formula, S = ut + 1/2 at².

Put the given values in the above formula,

S = ut + 1/2 at².

S = 10 × 15 + (0.5 × 0.02 × 15²)

•°• S = 152.5 m.

ii) Velocity after travelling a distance of 11 cm,

Velocity, v = √u² + 2as.

Put the given values in the above formulas,

V = √10⁶ + 44

•°• V = 1 km/s.