Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 9 Answered

Laws of motion equations 
Asked by Ramprasadramoji | 05 Sep, 2022, 18:44: PM
answered-by-expert Expert Answer
(1) Equation for velocity as a function of time.
 
Let us assume the motion is under uniform acceleration a.
 
Let u be initial velocity and v be the velocity after time t seconds.
 
Acceleration a is defined as rate of change of velocity
 
begin mathsize 14px style a space equals space fraction numerator v space minus space u over denominator t end fraction end style    ......................................(1)
above expression is rewritten as
 
v = u + ( a × t )  ....................................(2)
 
-------------------------------------------------
 
(1) Equation for displacement as a function of time.
 
Let S be the distance travelled in t seconds with uniform acceleration a .
 
Let u be the initial velocity at time t = 0.
 
if v is the final velocity after t seconds , then average velocity = ( v + u ) /2
 
distance travelled S = average velocity × time
 
begin mathsize 14px style S space equals space fraction numerator left parenthesis v plus u right parenthesis over denominator 2 end fraction cross times t end style  ..................................(3)
If we substitute finale velocity v from eqn.(2) , then we get after simplifiaction
 
begin mathsize 14px style S space equals space u space t space plus space left parenthesis 1 divided by 2 right parenthesis space a space t squared end style ..................................(3)
--------------------------------------------------------------------
 
(3) Equation for final velocity v as a function of distance travelled S
 
Let us consider equation(2) as given above
 
begin mathsize 14px style S space equals space fraction numerator left parenthesis v plus u right parenthesis over denominator 2 end fraction cross times t end style
Let us substitute time t using eqn.(1)
 
begin mathsize 14px style S space equals space fraction numerator left parenthesis v plus u right parenthesis over denominator 2 end fraction cross times fraction numerator left parenthesis v minus u right parenthesis over denominator a end fraction end style
Above expression is simplified as
 
v2 = u2 + ( 2 a S )
 
Answered by Thiyagarajan K | 05 Sep, 2022, 19:59: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 9 - Physics
Saving account deposit and interest calculation recurring deposit amount and interest calculation on maturity. please experts it's the question of maths but i have to askk here because it's really urgent!! can u pls tell me the contents to include in this project
Asked by 2016159 | 26 Jun, 2024, 19:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
a particle of mass 50 gram moving with a velocity of 10 ms¹ after 5s its velocity becomes 18 ms¹then the acceleration is
Asked by mymunathabasum1 | 24 Apr, 2023, 18:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
If a train moves 25km/sec and decrease to 15km/sec by applying brake in 5 sec then what will be the force of brake
Asked by sahuprabhat325 | 14 Dec, 2022, 08:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
Laws of motion equations 
Asked by Ramprasadramoji | 05 Sep, 2022, 18:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
plz solve urgently dear experts :
question image
Asked by savitamahajan202 | 09 Jul, 2022, 12:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
a car moving with a velocity of 72 km h-1 is brought to rest by applying brakes in 15 seconds find the retardation of the car
Asked by 2014.476bavyashree | 23 Jun, 2022, 18:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
If car A is travelling at the speed of 80 km/h and car B at 60 km/h in the same direction, what is the velocity of the car A relative to the car B?
Asked by abhaymukherjee789 | 28 May, 2022, 11:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
A train is moving with a velocity of 90 km hl. It is brought to stop by applying the brakes which produce a retardation of 0-5 m s2. Find: (i) the velocity after 10 s, and the time taken by the train to come to rest. Plot on graph
Asked by biswasdolly84 | 26 May, 2022, 21:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
what is projectile motion
Asked by dibsparna | 03 Nov, 2021, 13:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Physics
all equations of motion?
Asked by kartikbhartiya613 | 28 May, 2021, 14:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt