questions of motion chapter (other than NCERT)
Answers
Answer:
Question 1
An air-plane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance travelled before take off.
Answer
Given, the initial velocity = 0 m /s, acceleration = 3.20 m/s2, t = 32.8 s
This is quite a basic question of 2nd equation of motion s=ut+12at2s=ut+12at2
s = 1/2 at2
s=(.5)(3.20)(32.8)2= 1721.344m
Question 2
A Jeep starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the Jeep.
Answer
Use 2nd equation of motion
s=ut+12at2s=ut+12at2
110 = [0.5a × (5.21)22]
a = 110 / (5.2122 × 0.5)
a = 8.10m/s2
Question 3
John is riding the Giant Drop at Canada. If John free falls for 2.6 seconds, what will be his final velocity and how far will he fall?
Answer
Using 1st equation
v=u+at
v=gt where g =acceleration due to gravity=9.8 m/s2
v=9.8X 2.6=25.48 m/s
Using 2nd equation
s=ut+12at2s=ut+12at2
s=12gt2s=12gt2
s=33.124m
Question 4
A racing car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance travelled.
Answer
a=(v−u)ta=(v−u)t
a=(46.1−18.5)2.47a=(46.1−18.5)2.47
a=11.47m/s2
Question 5
A feather is dropped on the planet other than earth which has very low acceleration due to gravity from a height of 1.40 meters. The acceleration of gravity on the other planet is 1.67 m/s2. Determine the time of feather to fall to the surface of the other planet
Answer
Here u=0, a=1.67m/s2 , s=1.40 , t=?
Using 2nd equation
s=ut+12at2s=ut+12at2
t= 1.29 s
Question 6
Rocket-powered sleds are used to test the human response to acceleration. If a rocket- powered sled is accelerated to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance that the sled travels?
Answer
Here u=0, v=444m/s ,t=1.8
a=v−ut=4441.8=246.66m/s2a=v−ut=4441.8=246.66m/s2 Now
s=ut+12at2s=ut+12at2
s=399.6 m
Question 7
Honda Activita accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.
Answer
Here v=7.10 m/s , s=35.4 m ,u=0 ,a=?
Now,
v2=u2+2asv2=u2+2as
a=.712 m/s2
Question 8
An Aeronautics engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The take off speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?
Answer
Here v=65 m/s , s=? ,u=0 ,a=3m/s2
Now,
v2=u2+2asv2=u2+2as
distance= 704m
Question 9
A BMW car travelling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration)
Answer
u = 22.4 m/s,v = 0, t = 2.55 s
using First equation of motion
v = u+at
0 = 22.4+aX2.55
a = -8.784 m/s2
Now using third equation of motion
v2=u2+2asv2=u2+2as
0=(22.4)2 -2X8.784Xs
s=28.56m
Question 10
A kangaroo is capable of jumping to a height of 2.62 m. Determine the take off speed of the kangaroo.
Answer
Here v=0 , s=2.62m ,u=? ,a=-9.8 m/s2
Now,
v2=u2+2asv2=u2+2as
u= 7.17m/s
Question 11
If Rahul has a vertical leap of 1.29 m, then what is his take off speed and his hang time (total time to move upwards to the peak and then return to the ground)?
Answer
Here v=0 , s=1.29m ,u=? ,a=-9.8 m/s2
Now,
v2=u2+2asv2=u2+2as
u= 5.03m/s.
Now time going Up,
v=u+at
or
t=-u/a = 5.03/9.8 =.513 s
Total hang time = 2 * .513 =1.03s
Question 12
A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the riffle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).
Answer
Here v=521 m/s , s=.840m ,u=0 ,a=-?
Now,
v2=u2+2asv2=u2+2as
a=162×103a=162×103 m/s2
Question 13
A baseball is popped straight up into the air and has a hang- time of 6.25 s. Determine the height to which the ball rises before it reaches its peak. (Hint: the time to rise to the peak is one- half the total hang-time.)
Answer
Time to rise = 6.25/2= 3.125 s s=? ,a =9.8 m/s2 Now,
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questions which I am giving is not only from motions but the chapter force and motion ok
