An automobile with an initial speed of 4.56
m/s accelerates uniformly at the rate of 2.4
m/s2.
Find the final speed of the car after 4.4 s.
Answer in units of m/s.
(part 2 of 2)
Find the displacement of the car after 4.4 s.
Answer in units of m.
Part one: 15.12
part two: HELP
To find the final speed of the car after 4.4 s, you can use the formula:
final speed = initial speed + (acceleration x time)
Given:
Initial speed (u) = 4.56 m/s
Acceleration (a) = 2.4 m/s^2
Time (t) = 4.4 s
Substitute the given values into the formula:
final speed = 4.56 m/s + (2.4 m/s^2 x 4.4 s)
final speed = 4.56 m/s + (10.56 m/s)
final speed = 15.12 m/s
Therefore, the final speed of the car after 4.4 s is 15.12 m/s.
To find the displacement of the car after 4.4 s, you can use the formula:
displacement = (initial speed x time) + (0.5 x acceleration x time^2)
Given:
Initial speed (u) = 4.56 m/s
Acceleration (a) = 2.4 m/s^2
Time (t) = 4.4 s
Substitute the given values into the formula:
displacement = (4.56 m/s x 4.4 s) + (0.5 x 2.4 m/s^2 x (4.4 s)^2)
displacement = (20.064 m) + (0.5 x 2.4 m/s^2 x 19.36 s^2)
displacement = 20.064 m + (0.5 x 2.4 m/s^2 x 375.424 s^2)
displacement = 20.064 m + 450.22144 m
displacement = 470.28544 m
Therefore, the displacement of the car after 4.4 s is 470.28544 m.