I am in 8th Grade G/T Science, and I had a question in an online test I didn't understand: An object is traveling at 8.1 m/s. Over the course of 5.3 seconds, it accelerates at a rate of 2.8 m/s2. What is its final velocity (in m/s)?
Can you please help me answer this question?? Thanks!
Hi, for the problem, you basically first find the change in velocity by multiplying the acceleration by the amount of time it takes for the acceleration to change. (Ex. 5.3 x 2.8). Then, add the product to the original velocity (Ex. (8.1 + (5.3 x 2.8)) to get your final velocity.
Vf = Vo + a*t.
Vo = 8.1 m/s.
a = 2.8 m/s^2.
t = 5.3 s.
Vf = ?
Of course! I'd be happy to help you understand how to solve this problem.
To find the final velocity of an object, we can use the formula:
Final velocity = Initial velocity + (Acceleration × Time)
In this case, the initial velocity is given as 8.1 m/s, the acceleration is given as 2.8 m/s^2, and the time is given as 5.3 seconds.
Now let's plug these values into the formula:
Final velocity = 8.1 m/s + (2.8 m/s^2 × 5.3 s)
First, calculate the product of the acceleration and time:
2.8 m/s^2 × 5.3 s = 14.84 m/s
Now add the initial velocity and the product we just calculated:
Final velocity = 8.1 m/s + 14.84 m/s
Adding these two values together:
Final velocity = 22.94 m/s
Therefore, the final velocity of the object is 22.94 m/s.
I hope this explanation helps you understand how to solve this problem!