A car going at 30 m/s undergoes an acceleration of 2m/s squared for 4 seconds. What is it's final speed? How far did it travel while it was accelerating?

2 m/s^2=?-30m/s^2/4s

?-30=4*2
?-30=8
?=8+30=38
1st speed=38m/s

A certain airplane has an acceleration of 15.0 m/s2

How fast will it be moving2.5s after it starts down runway
How far down runway during the 2.5s

The first speed is 38m/s

To find the final speed of the car, you need to use the formula:

final speed = initial speed + (acceleration × time).

In this case, the initial speed is 30 m/s, the acceleration is 2 m/s^2, and the time is 4 seconds. Plugging in these values into the formula, we get:

final speed = 30 m/s + (2 m/s^2 × 4 s)
final speed = 30 m/s + 8 m/s
final speed = 38 m/s

Therefore, the final speed of the car is 38 m/s.

To find the distance traveled by the car while it was accelerating, you can use the formula:

distance = initial speed × time + (0.5 × acceleration × time^2).

Since the car starts from rest, the initial speed is 0 m/s. The acceleration is 2 m/s^2, and the time is 4 seconds. Plugging in these values into the formula, we get:

distance = 0 m/s × 4 s + (0.5 × 2 m/s^2 × (4 s)^2)
distance = 0 m + (0.5 × 2 m/s^2 × 16 s^2)
distance = 0 m + (0.5 × 2 × 16) m
distance = 0 m + 16 m
distance = 16 m

Therefore, the car traveled a distance of 16 meters while it was accelerating.

V(t) = Vo + a*t

X(t) = Vo*t + (1/2)a*t^2

Learn them and use them.
t = 4. Vo = 30 m/s a = 2 m/s^2

BTW, drop the apostrophe in it's.