-
Scalars & Vectors5 Topics1 Quiz
-
Equations of Motion3 Topics1 Quiz
-
Projectile5 Topics1 Quiz
-
Equilibrium of Forces I4 Topics
-
Equilibrium of Forces II4 Topics1 Quiz
-
Stability of a Body4 Topics1 Quiz
-
Simple Harmonic Motion (SHM)4 Topics
-
Speed, Velocity & Acceleration & Energy of Simple Harmonic Motion5 Topics1 Quiz
-
Linear Momentum6 Topics1 Quiz
Topic Content:
- Application of Equations of Motion
Let’s list the four equations of motion again;
(1) v = u + at
(2) s = \(\scriptsize ut \: +\: \normalsize \frac{at^2}{2} \)
(3) \( \scriptsize v^2 = u ^2 \: + \: 2as \)
(4) s = \( \frac{u\: + \:v}{2} \scriptsize\: \times\: t \)
Also, the equations of motion for the uniformly accelerated bodies;
(1) v = \( \scriptsize u \pm gt \)
(2) h = \( \scriptsize ut \pm \normalsize \frac{1}{2} \scriptsize gt^2 \)
(3) v2 = \( \scriptsize u^2 \pm 2gh \)
Example 2.3.1:
A bike travels from rest and accelerates uniformly to a velocity of 20 ms-1 in 5 seconds. Calculate the distance travelled.
Solution:
u = 0, v = 20 ms-1 , t = 5 s
s = \( \frac{u \: + \: v}{2} \scriptsize \times t \)
s = \( \frac{0 \: + \: 20}{2} \scriptsize \times 5 \)
= 10 × 5
s = 50 m
Example 2.3.2:
A ball thrown vertically upward with an initial velocity of 40 m/s has a deceleration of 10m/s2 Calculate its:
(a) velocity after 2.5 s and
(b) time to reach maximum height. (g = 10 m/s2 .)
Solution:
Values given
Initial velocity u = 40 m/s; time t = 2.5 s; velocity at time 2.5 s = ?; deceleration = 10 m/s2
(a) You have to choose a formula that contains all the values given in the question.
Using v = u + gt
Substitute in the values
v = 40
Unlock This Topic
This topic is available to course subscribers.
Subscribe to continue this course.
- 📚 Continue this topic
- 📝 Attempt quizzes
- 📈 Track your learning progress
- 🪙 Earn KofaCoins
this note is to much