Kinematic Equations Physics

Question

1. In a plane, I accelerate at the rate of 10 m/s2 for 60 seconds. How far was my plane displaced over this time? (Assume the plane starts at rest, at position 0).
2. I get on a slide at a velocity of 1 m/s. My average velocity on the slide was 0.5 m/s. What velocity did I end up at on the slide?
3. During a race, I start off at a velocity of 1m/s, at position 0. I end up at a position of 35 meters. My acceleration during the race is .5 m/s2. What is my final velocity?

Three Questions that needs solved

Answer 1

Hi Amz. Here's how to do these kinematics problems.

You only need to know the 3 main equations: v = v₀ + at; s = v₀t + 1/2 at²; v² = v₀² + 2 as

Then, choose the appropriate equation, depending on which variables you are given (or can calculate.)

(1) Here, we know v₀ = 0; a = 10 m/s²; and t = 60 secs; and we want to find v

Therefore, we use: v = v₀ + at

= 0 + 10 x 60

= 600 m/sec

(2) Average velocity = (v₀ + v) / 2

0.5 = (1 + v) / 2

1 = 1 + v

v = 0

(3) Here we use v² = v₀² + 2as

= 1² + 2 (0.5) (35)

= 1 + 35

= 36

=> v = √36 = 6 m/sec

There you go! Be sure you understand the method - don't just copy the answer!