A motorcycle is traveling with a velocity of 4 m/s and has a mass of 112 kg

896J

Explanation:

Given that

Mass of motorcycle = 112kg

kinetic energy = ?

velocity of the motorcycle = 4m/s

Since kinetic energy is the energy possessed by a moving object, and it depends on the mass (m) of the object and the velocity (v) by which it moves. Therefore, the motorcycle has kinetic energy

i.e K.E = 1/2mv^2

KE = 1/2 x 112kg x (4m/s)^2

KE = 0.5 x 112 x 16

KE = 896J

Thus, the motorcycle has 896 joules of kinetic energy.

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.