A car is traveling at 50 m/s and slows down to 10 m/s in 5 seconds. What is the car's acceleration? (Remember what is needed when an object slows
down) *

Given:

Initial velocity (u) = 50 m/s

Final velocity (v) = 10 m/s

Time taken (t) = 5 seconds

To Find:

Acceleration (a) of the car

Explanation:

From equation of motion we have:

By substituting value of v, u & t in the equation we get:

Acceleration (a) of the car = -8 m/s²

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

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.