Alex hope in her parked car, turns the key, and slams on the gas, producing an acceleration of 4.8m/s2. if she does this for 4,4 seconds how far will she have traveled

She has travelled 46.46 meters

Explanation:

Step 1: Data given

The car starts from rest so v0 = 0 m/s

Acceleration a = 4.8 m/s²

Time travelled = 4.4 seconds

Step 2: Calculate the distance

Since this is an acceleration we will use the formula X = 1/2 * at² +v0t + x0

with X = the total distance travelled

with x0 = the start point ( in this case it's 0)

with a = the acceleration ( in this case 4.8 m/s²)

with v0 = the initial speed ( in this case 0 m/s)

with t= the time travelled (in this case 4.4s)

X = 1/2 * 4.8 m/s² * (4.4s)² + 0*4.4s + 0

X = 1/2 * 4.8 m/s² * (4.4s)²

X = 46.46 m

She has travelled 46.46 meters

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s