Final answer:
To calculate the final velocity, the equation v = u + (f/m) * t can be used with the given values of initial velocity (u), mass (m), net force (f), and time (t). The final velocity of the object is found to be 51.5 m/s.
Step-by-step explanation:
To calculate the final velocity (v) of an object, we can use the equation v = u + (f/m) * t, where u is the initial velocity, f is the net force acting on the object, m is the mass of the object, and t is the time for which the force acts. In this case, we have an initial velocity (u) of 22.4 m/s, mass (m) of 15 kg, net force (f) of 97 N, and time (t) of 4.5 seconds.
Using the given values:
- u = 22.4 m/s
- m = 15 kg
- f = 97 N
- t = 4.5 s
We can compute the final velocity (v) as follows:
v = 22.4 m/s + (97 N / 15 kg) * 4.5 s
v = 22.4 m/s + (6.46667 m/s2) * 4.5 s
v = 22.4 m/s + 29.1 m/s
v = 51.5 m/s
Therefore, the final velocity of the object is 51.5 m/s.