1) Derive the equation of motion v 2 – u2 = 2as graphically. 2) Derive the equation of motion s = ut + ½ at2 graphically.

3) A racing car has a uniform acceleration of 5m/s2 . what distance will it cover in 20s after the start?

4) A body undergoes an acceleration of 10m/s2 starting from rest. Find the distance travelled by it in 5s?

5) A ball is gently dropped from a height of 20m. if its velocity increases uniformly at the rate of 10m/s2 , with what velocity will it strike the ground? After what time will it strike the ground?

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?

An charge with mass m and charge q is emitted from the origin, (x, y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Could we see a galaxy that is 20 billion light-years away?