The graph shows the acceleration of the cart with three
different fan speeds. the fan provides the force
necessary to accelerate the cart.
as the fan speed increases, the acceleration of the cart
the type of relationship that exists between the force
applied to the cart by the fan and the acceleration of
the cart is
relationship.

Explanation:

We know that the rate of change of velocity is called acceleration of an object. Its expression is given by :

The force acting on an object is the product of mass and acceleration. It is given by :

F = ma

It is clear that as the fan speed increases, the acceleration of the cart increases. Also from the Newton's second law of motion, the force  applied to the cart by the fan and the acceleration of the cart has direct relationship.

as a general rule, scissors have blades less than 6 in (15 cm) long and usually have handles with finger holes of the same size. shears have blades scissors used to cut hair or fabric must be much sharper.

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