Final answer:
The final velocity of the object is found using the equation v = u + at. The initial velocity is 5.0 m/s, acceleration is -15 m/s², and time is 4 seconds. The calculation yields a final velocity of -55 m/s.
Step-by-step explanation:
The question is asking us to determine the final velocity of an object that starts with an initial velocity of 5.0 m/s and experiences an acceleration of -15 m/s² over a period of 4 seconds. To find the final velocity, we can use the basic kinematic equation:
v = u + at
where:
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- t is the time.
Substituting in the known values gives us:
v = 5.0 m/s + (-15 m/s² × 4 s)
v = 5.0 m/s - 60 m/s
v = -55 m/s
Hence, the final velocity of the object after 4 seconds will be -55 m/s.