How can I solve 1-D kinematics problems with limited resources?

[Imabur.]

Homework Statement

I have a problem worksheet for my 'Physics A' class. It deals with 1-D Kinematics, which we are just getting into so I am not very sure what equations I need to use. I'm not asking for someone to answer them for me, but to maybe give me a list of a few equations that would help me answer my problems.

A few examples that I have are:

An engineer is to design a runway to accommodate airplanes that must gain a ground speed of 61.0 m/s before they can take off. If these planes are capable of a uniform acceleration of 1.50 m/s²

a) how long will it take them to achieve take-off velocity;​

b) what must be the minimum length of the runway?​

OR

A stone is dropped from an airplane at an altitude of 4.90*10² m. The stone required 10.0 s to reach the ground. At what rete does gravity accelerate the stone?

OR

A driver of a car going 90.0 km/h N, suddenly sees the lights of a barrier 40.0 m ahead. It takes the driver 0.750 s to apply the brakes, and the maximum acceleration during braking is 10.0 m/s² S. Determine if the car hits the barrier.

Homework Equations

I just need basic equations. How to find how long it will take something to fall, or how to find the acceleration or velocity.

The Attempt at a Solution

The only solutions I was able to find were the simple ones that I could do in my head.

Q. A boy walks 13.0 km in 2.0 h. What is his speen in km/h?

A. 6.5 km/h.

OR

Q. On a baseball diamond, the distance from home plate to the pitcher's mound is 18.5 m. If the pitcher is capable of throwing a ball at 38.5 m/s, how much time does it take a ball to reach home plate?

A. 0.481 s.

 

[Redbelly98]

Welcome to PF.

There are 3 or 4 equations that deal with motion under constant acceleration. The are most certainly in your textbook, or look at the last 3 equations here:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

Become familiar with these equations as they get used a lot.

Good luck!

 

[Imabur.]

Thank you, this helps out a lot. Yes, they would probably be in a textbook, but my shcool doesn't seem to think it's necessary to buy Physics textbooks, and the one worksheet with the basic equations that i needed is the one i seemed to lose. Since, I do not have a textbook to refer my work to, this seems like perfect forum to take part in.

 

[Redbelly98]

You're welcome.

There's a 4th equation too, it results from equating the two expressions for v_ave in that link from post #2.

... my school doesn't seem to think it's necessary to buy Physics textbooks ...

Wow.