A car is traveling at a constant speed on the highway. Its tires have a diameter of 61.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 50.0 rad/s, what is the speed of the car

15.25 m/s

Explanation:

Velocity is given as;

v = angular velocity x radius

v = ωr

where;

v is velocity, ω = angular velocity and r is radius)

We are given;

ω = 50 rad/s

diameter = 61cm

So, radius = 61/2 = 30.5 cm = 0.305m

Plugging in the relevant values to get ;

v = 50 x 0.305

v= 15.25 m/s

Therefore the car is travelling at a constant speed of 15.25 m/s

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

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.