It is summer, and you are excited about going to your local amusement park, and specifically about riding the new roller coaster that was just built. You imagine waiting at the top of the stairs for the roller coaster to pull into the station, climbing into the car, strapping yourself into the seatbelt, and pulling down the harness. You can imagine the cars slowly chugging up to the top of the first hill, coming down on the other side, and the excitement you expect to feel as you go along for the ride. Of all of the things that you have imagined, which is an example of potential energy?
A. Waiting at the top of the stairs for the roller coaster to pull into the station
B. Climbing into the car
C. Pulling down the harness
D. The roller coaster car going up the first hill

The correct option is;

A. Waiting at the top of the stairs for the roller coaster to pull into the station

Explanation:

Here we analyze each of the options

A. Waiting at the top of the stairs for the roller coaster to pull into the station

In the above case we have an initial energy being the energy by virtue of height position, which is potential energy

B. Climbing into the car

Here, we have motion energy, (climbing) which is kinetic form of energy

C. Pulling down the harness

The above is also a form of kinetic energy. Energy of motion (pulling)

D. The roller coaster going up the first hill

Here we have a form of kinetic energy. Energy of motion (going up).

answer; /// the above statement is (true);

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