An automobile with an initial speed of 3.25
m/s accelerates uniformly at the rate of 3.2
m/s
2
.
Find the final speed of the car after 4.4 s.
Answer in units of m
/
s
To find the final speed of the car after 4.4 seconds, we can use the formula for uniformly accelerated motion:
v = u + at
Where:
v is the final velocity (speed) of the car
u is the initial velocity of the car
a is the acceleration of the car
t is the time taken
Given:
u = 3.25 m/s (initial speed)
a = 3.2 m/s^2 (acceleration)
t = 4.4 s (time)
Substituting the given values into the formula, we get:
v = 3.25 m/s + (3.2 m/s^2)(4.4 s)
Now, let's calculate:
v = 3.25 m/s + (3.2 m/s^2)(4.4 s)
v = 3.25 m/s + 14.08 m/s
v = 17.33 m/s
Therefore, the final speed of the car after 4.4 seconds is 17.33 m/s.