2. a scooter moves at a speed of 36km/h is stopped by applying brakes which produce a uniform acceleration of, -0.5m/s . how much distance will be covered by the scooter before it stops?

There will be covered 100 meter by the scooter before it stops.

Explanation:

Step 1: Data given

Velocity of the scooter = 36 km/h = 10 m/s = the initial velocity

Uniform acceleration = -0.5 m/s

Step 2:  Calculate time needed to stop the scooter

Suppose the scooter stops afer time t, then v= 0

v = v0+ a*t = 0    a = -0.5 m/s²

0 = 10 + (-0.5)*t

-10 = -0.5t

t= 20

This means the scooter will stop after 20 seconds

Step 3: Calculate distance travelled before the scooter stops

x = v0*t + 1/2at²

x = 10*20 + 1/2*(-0.5)*20²

x = 200 -100

x = 100 m

There will be covered 100 meter by the scooter before it stops.

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.

i believe the answer would be:

d. violin, clarinet, french horn, and tuba