How high is a 0.1 kilogram bird from the ground when its potential energy is 3 joules?

Answer : Height of the object from the ground is, h = 3.06 m.

Explanation :

It is given that,

Mass of the bird, m = 0.1 kg

Potential energy, PE = 3 J

We know that mathematically the potential energy of an object is given as :

Where,

m is the mass of the object

g is acceleration due to gravity

h is the height of the object from the ground.

Hence, this is the required solution.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.