Question

A body moves in a straight line with a uniform acceleration of 2 m/s². If the initial velocity of the body is 10 m/s, find the velocity of the body after covering 75m and the time taken by the body to attain this velocity?

A. Velocity = 20 m/s, Time = 10 s

B. Velocity = 15 m/s, Time = 7.5 s

C. Velocity = 18 m/s, Time = 9 s

D. Velocity = 25 m/s, Time = 12.5 s

Answer 1

The velocity of the body after covering 75m is 20 m/s, and the time taken to attain this velocity is 5 s.

Step-by-step explanation:

To find the velocity of the body after covering 75m, we can use the equation:

v^2 = u^2 + 2as

Where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement.

Given that the initial velocity (u) is 10 m/s and the acceleration (a) is 2 m/s², we can plug in these values into the equation:

v^2 = (10)^2 + 2 * 2 * 75

v^2 = 100 + 300

v^2 = 400

v = √400

v = 20 m/s

Next, to find the time taken by the body to attain this velocity, we can use the equation:

v = u + at

Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.

Given that the initial velocity (u) is 10 m/s, the acceleration (a) is 2 m/s², and the final velocity (v) is 20 m/s, we can plug in these values into the equation:

20 = 10 + 2t

t = (20 - 10) / 2

t = 10 / 2

t = 5 s

Therefore, the velocity of the body after covering 75m is 20 m/s, and the time taken by the body to attain this velocity is 5 s.