a body is moving with a uniform acceleration travels 24m in the 6th second and 44m in the 11th second. find 1). acceleration 2). uniform velocity of the body
The "average speed over one second" increases by 20 m/s in 5 seconds. The acceleration is therefore 4.0 m/s^2.
There is no uniform velocity, since it is accelerating. Perhaps you did not state the question correctly.
To solve this problem, we can use the equations of motion.
1) Finding the acceleration:
In the 6th second, the distance traveled is 24m. Using the equation of motion:
distance = initial velocity × time + (1/2) × acceleration × time^2
24 = 0 × 6 + (1/2) × acceleration × 6^2
24 = 18 × acceleration
acceleration = 24 / 18
acceleration = 4/3 m/s^2
Therefore, the acceleration of the body is 4/3 m/s^2.
2) Finding the uniform velocity:
In the 11th second, the distance traveled is 44m. Again using the equation of motion:
distance = initial velocity × time + (1/2) × acceleration × time^2
44 = 0 × 11 + (1/2) × acceleration × 11^2
44 = 66 × acceleration
acceleration = 44 / 66
acceleration = 2/3 m/s^2
The result shows that our initial assumption of uniform acceleration was incorrect, as the acceleration changes over time. Therefore, we cannot find the uniform velocity of the body, as there is no constant acceleration.
Hence, we can conclude that the acceleration is 4/3 m/s^2, but the body does not have a uniform velocity due to the changing acceleration.