A force 1.0 N acts on body of mass 10 kg. As a result, the body covers 100 cm in 4 seconds moving along a straight line. Its initial velocity is:

To determine the initial velocity of a 10 kg body subjected to a 1.0 N force, covering 100 cm in 4 seconds along a straight line, we can follow these steps:

Step 1: Calculate Acceleration

Using Newton's second law, acceleration (a) is given by:

Formula:
a = F/m
Substituting the values: 
a = 1.0 N / 10 kg = 0.1 m/s²

Step 2: Convert Distance

The distance covered is 100 cm, which is equivalent to 1 meter.

Step 3: Use Kinematic Equation

The equation relating distance (s), initial velocity (u), time (t), and acceleration (a) is:

s = ut + (1/2) a t²

Step 4: Solve for Initial Velocity (u)

Substituting the known values:

1 m = u × 4 s + (1/2) × 0.1 m/s² × (4 s)²
1 = 4u + (1/2) × 0.1 × 16
1 = 4u + 0.8
4u = 1 - 0.8
4u = 0.2
u = 0.2 / 4 = 0.05 m/s

Step 5: Convert to cm/s

0.05 m/s = 5 cm/s

Final Answer:

The initial velocity of the body is 5 cm/s