An object is observed for a 5 second interval. During this time, the objects velocity increases from 2 m/s to a final velocity and the object travels 75 m. The acceleration of the object is constant. Given this information, which of the following statements is not correct?
a)The average velocity is 15 m/s.
b)The final velocity of the object is 26 m/s.
c)The acceleration of the object is 5.2 m/s^2
avgvelocity*time=distance
avgvelocity=75/5=15m/s
avg velocity=initial velocity+1/2 finalvelocity
15=2+1/2 finalvelocity
vinal velocity=26m/s
a=changevelocity/time=(26-2)/5=24/5 m/s
To determine which of the statements is not correct, let's analyze the given information step by step:
1. The object's initial velocity is 2 m/s.
2. The object's final velocity is unknown.
3. The object traveled a distance of 75 m.
4. The time interval over which all of this happened is 5 seconds.
5. The acceleration of the object is constant.
Now, let's check each statement:
a) The average velocity is 15 m/s.
To find the average velocity, we divide the total distance traveled by the time interval: average velocity = total distance / time. In this case, the average velocity would be 75 m / 5 s = 15 m/s. This statement is correct.
b) The final velocity of the object is 26 m/s.
We don't have enough information to determine the final velocity. This statement cannot be confirmed or disproved based on the given information.
c) The acceleration of the object is 5.2 m/s^2.
To determine the acceleration, we can use the equation: acceleration = (final velocity - initial velocity) / time. Plugging in the values, we get: acceleration = (final velocity - 2 m/s) / 5 s. We cannot solve for the final velocity without knowing the acceleration. This statement cannot be confirmed or disproved based on the given information.
So, the correct answer is:
b) The final velocity of the object is 26 m/s.
To determine the final velocity accurately, we need more information or another equation involving acceleration.