A particle which is moving in a straight line with constant acceleration describes distances of 10 m and 15 m in two successive seconds. find the acceleration
Asked by arjunsah797 | 14th Jun, 2021, 06:57: AM
Let u be th initial velocity at nth second .
Then distance S travelled by 1 second interval is determined from the following equation
S = u t + (1/2) a t2 .............................(1)
where a is acceleration
For 1 second interval , let us substitute t = 1 , then we get ,
10 = u + (1/2) a .........................(2)
For next (n+1)th second , initial velocity is ( u + a )
distance described for a time interval t =1 seconds at (n+1)th second is determined from eqn.(1) as
15 = (u+a) + (1/2) a .......................(3)
By solving eqn.(2) and (3) , we get acceleration a = 5 m/s2
Answered by Thiyagarajan K | 14th Jun, 2021, 08:04: AM
- A car is travelling with a speed of 36km/h. The driver applies the brakes and retards the car uniformly. The car is stopped in 5 seconds. Find i) Retardation of the car ii) Distance travelled before it is stopped.
- A stone is thrown vertically upward after how much time it will be at height of 5m
- a car has uniform acceleration of 8m/s². what distance will it cover in 20 s after starting from rest.?
- a=-0.5 Speed = 90km/h find distance
- An object starting from rest travels 20m in the first 2s and 160m in the next 4s. What will be the velocity after 7s from the start?
- The water drop falls at regular intervals from a tap 9 m above the ground. The fourth drop is leaving the tap at the instant, the first drop touches the ground. How high is the third drop at that instant?
- a stone is allowed to fall from the top of a tower of height 200m and at the same time an another stone is projected vertically upwards from the ground with a velocity of 50 metre per second calculate where and when the two stones will meet. ( take g = 10 metre per second square)
- a train starting from Rest attains a velocity of 72 km /h in 5 minutes. Assuming that the acceleration is uniform,find the acceleration and the distance travelled by the train for attaining this velocity.
- Derive an equation for position -time (S=ut+1/2at^2) relation for an object that travelled a distance 's' in time 't' under uniform acceleration 'a'
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number