# Motion in a Straight Line

*These *Motion in a Straight Line* Numericals are very useful for the students preparing for school as well as competitive examinations.Video solution with answer for each question for chapter Motion in a Straight Line Numerical of 11th physics is given.*

Q1) A Body starts from rest and travels 120cm in the 8th second. then

acceleration of the body is

body is..[AFMC 1997]

ANS. 0.16m/se

Q2) A car travels first half distance between to places with a speed of 30km/hr

and the remaining half with a speed of 50km/hr. the average speed of the car

is

Ans. 37.5km/hr

Q3) The displacement x of a particle moving along a straight line at time t is

given by

x=a0+a1t+a2t

2

The acceleration of the particle is

Ans. 2a2

Q4) Find the total displacement of a body in 8 seconds starting from rest with

an acceleration of 20cm/sec2[AFMC 2000]

Ans.640cm

Q5) A particle moves along a straight line OX. At a time (in second) the distance

x (in meters) of the particle from O is given by

x=40+12t-t3

How long would the particle travel before coming to rest (AFMC2000)

Ans. 40m

Q6) A bus start from rest with an acceleration of 1 meter/sec2

. A man who is 48

meter behind the bus with a uniform velocity of 10m/sec then the minimum

time after which the man will catch the bus is (AFMC 2001)

Ans. 8sec

Q7) The displacement of a particle moving in straight line depends on time as

x=αt+βt

2+yt+ᶑ the ratio of initial acceleration to its initial velocity depends

[AFMC 2002]

Ans. Only on β and y

Q8) A particle covers 150 meter in 8th second starting from rest , its

acceleration is [AFMC 2003]

Ans. 20 meter/sec2

Q9) A car is moving with uniform acceleration it covers 200 meter in 2 second

and 220 meter in next 4 second . The velocity of car at the end of end of 7th

second from start is

Ans. 10 m/s

Q10) A train of 150 meter long is going towards north direction at speed of 10

meter/second . A parrot flies at the speed of 5meter/second towards south

direction parallel to the railway track . The time taken by the parrot to cross

the train is [CBSE-PMT 1992]

Ans. 10 second

Q11) A bus travelling the first one third distance at the speed of 10km/s , the

next ne third at 20km/s and the last one third at 60km/s , the average speed of

the bus is …… [CBSE-PMT 1991]

Ans. 18km/s

Q12) A car accelerates from rest at a constant rate α for some time, after which it decelerated at constant rate β and comes to rest. If the total time

elapsed is t, then the maximum velocity acquired by the car is..

[CBSE PMT 1994 ]

Ans. αβt/α+β

Q13) A particle moves along a straight line such that its displac

time ‘t’ is given by

s t3-6t2+3t+4) meters

The velocity when the acceleration es zero is… [CBSE PMT 1994]

Ans.

Q14) A particle covers half of its total distance with speed v1 and the rest

half distance with speed v2. Its average speed during the complete journey

is..[CBSE-PMT 2O11]

Ans. 2v1v2/v1+v2

Q15) A ball is dropped form a high rise platform at t=O starting from rest.

After 6 seconds another ball is thrown downwards from the same platform

with a speed y. The two balls meet at t=1 8s. What is the value of y?

[g=1Om/s2) [CBSE-PMT 2011]

Ans. 75m/sec

Q16) A particle moving in a straight line with a constant acceleration changes its velocity from 10 m/s to 20m/s, while passing through

135 m in t second. The value of t is ... [CBSE-PMT 2008]

Ans. 9

Q17) A particle starts its motion from rest under the action of

force. if the distance covered in first 10 second is S1 and

first 20 seconds is S2 then .. [CBSE-PMT 20091]

Ans. S2 = 4S1

Q18) If a ball is thrown vertically upwards with speed of ‘u’ the distance

covered during the last ‘t’ second of its ascent is.. [CBSE-PMT 2003]

Ans. ½ gt2

Q19) A bus is moving with a speed of 10meter/second on a straight road . A

scooterist wishes to over take the bus in 100second. If the bus is at a distance

of 1km from the scooterist , with what speed should the scooterist chase the

bus ? [CBSE-PMT 2009]

Ans. 20 m/s

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