Question

A body moves in a straight line with a uniform acceleration of 2 m / s. If the initial velocity of the body is 10 m / s, find the velocity of the body after covering 75 m and the time taken by the body to attain this velocity. a. Velocity of the body after covering 75 m = 20 m/s; Time taken = 5 seconds. b. Velocity of the body after covering 75 m = 15 m/s; Time taken = 7.5 seconds.

c. Velocity of the body after covering 75 m = 18 m/s; Time taken = 6 seconds.
d. Velocity of the body after covering 75 m = 25 m/s; Time taken = 10 seconds.

Answer 1

The velocity of the body after covering 75 m is 20 m/s and the time taken is 5 seconds.

Step-by-step explanation:

To find the velocity of the body after covering 75 m and the time taken to reach that velocity, we can use the equations of motion.

Using 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, we can find the final velocity:

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

v^2 = 100 + 300

v^2 = 400

v = 20 m/s

To find the time taken to reach this velocity, we can use the equation v = u + at.

20 = 10 + 2t

2t = 10

t = 5 seconds

Therefore, the velocity of the body after covering 75 m is 20 m/s and the time taken is 5 seconds.