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A linear or rectilinear motion is a one-directional motion in a straight line. A longitudinal dimension can be used to calculate this motion. One of the most fundamental motions is motion in a straight line. A body without any net force on it continues to move in a straight line with a constant velocity until and unless it is subjected to a net force, according to Newton’s first law of motion. External factors such as gravity and friction, on the other hand, cause a change in the object’s motion direction in real life.
Q1. A body’s displacement in metres fluctuates as y = t2 – t – 2 with time t in seconds. The displacement is zero for a value of t equal to
(a) 1 s
(b) 2 s
(c) 3 s
(d) 4 s
Answer: option b is the correct answer as when we put the value t=2 in the given equation
y = t2 – t – 2 , the displacement y becomes 0(zero).
Q2. A boy starts at position A, travels 3 kilometres to point B, and then returns to point A. If it takes two hours for this, his speed is
(a) 3 km/h
(b) zero
(c) 2 km/h
(d) 1.5 km/h
Answer: option a is the correct answer because speed=distance/time
Q3. A boy starts at location A, walks 1.5 kilometres to point B, and then returns to point A. If it takes one hour for this, his average velocity is
(a) 3 km/h
(b) zero
(c) 1.5 km/h
(d) 2 km/h
Answer: option b is the correct answer
Q4. A body starts off at rest and moves in a straight line with a constant acceleration. If its velocity is 8 m/s with a displacement of 32 m, its acceleration is
(a) 1 m/s2
(b) 2 m/s2
(c) 3 m/s2
(d) 4 m/s2
Answer: option a is the correct answer
Q5. The unit of velocity is which of the following?
(a) kilogram
(b) metre
(c) m/s
(d) second
Answer: option c is the correct answer
Q6. A body begins at rest and moves for t seconds at 2 m/s2 uniform acceleration. If it causes a displacement of 16 m, the time of t is
(a) 4 s
(b) 3 s
(c) 6 s
(d) 8 s
Answer: option a is the correct answer as because when we put the values as S=16,a=2 and u=0 in the equation S=ut + 1/2 at2 , we get t=4.
Q7. A body begins at rest and accelerates at a rate of 2 m/s2. Its velocity is 10 m/s after t seconds. Then time t is,
(a) 10 s
(b) 5 s
(c) 20 s
(d) 6 s
Answer: option b, 5 s is the correct answer as because when we put the values a=2,v=10 and u=0 in the equation v=u+at , we get t=5 .
Q8. A body starts from rest. If the body travels with an acceleration of 2 m/s², its displacement after 3 seconds is
(a) 9 m
(b) 12 m
(c) 16 m
(d) 10 m
Answer: option a is the correct answer as because when we put the values as a=2,t=3 and u=0 in the equation S=ut + 1/2 at2 , we get S=9.
Q9. A body begins at rest and accelerates at a constant rate of 2 m/s2. If its velocity is v with a displacement of 9 m, then v is
(a) 8 m/s
(b) 6 m/s
(c) 10 m/s
(d) 4 m/s
Answer: option b is the correct answer as because when we put the values as S=9,a=2 and u=0 in the equation v2 = u2 + 2aS , we get v=6.
Q10. A body begins from rest and travels with an acceleration of 2 m/s2 . After t seconds the velocity of the body is 10 m/s. Then time, t is
(a) 10 s
(b) 5 s
(c) 20 s
(d) 6 s
Answer: option b is the correct answer
Q11. If a body starts at rest and moves for five seconds to cover a distance of 25 m with uniform acceleration a, then a is
(a) 3 m/s2
(b) 4 m/s2
(c) 2 m/s2
(d) 1 m/s2
Answer: option c is the correct answer as because when we put the values S=25,S=25,t=5 and u=0 in the equation S=ut + 1/2 at2 , we get a=2 .
Q12. A body begins at rest and accelerates uniformly to cover a distance of 6 metres. If its velocity after the displacement is 6 m/s, then its uniform acceleration a is
(a) 6 m/s2
(b) 2 m/s2
(c) 3 m/s2
(d) 4 m/s2
Answer: option c is the correct answer as because when we put the values S=6,v=6 and u=0 in the equation v2 = u2 + 2aS , we get a=3 .
Q13. Which of the following statements about a particle’s position is true if x = (4t2 – 8t) ?
(a) Acceleration is zero for t = 0
(b) Velocity is zero for t = 0
(c) Velocity is zero for t = 1s
(d) Velocity and acceleration will never be zero
Answer: option c is the correct answer
Q14. A man throws balls vertically upwards at the same speed, one after the other, with a 2 second interval. What should the throw speed be if more than two balls are in the air at the same time?
(a) Only with speed 19.6 m/s
(b) More than 19.6 m/s
(c) At least 9.8 m/s
(d) Any speed less then 19.6 m/s.
Answer: option b is the correct answer because the acceleration due to gravity is 9.8 m/s2
Q15. A truck and a car are travelling at the same speed. When you press the brakes, both of the vehicles will come to a complete stop after a set distance. Then,
(a) Before stopping, the truck will travel a shorter distance.
(b) car will cover distance before rest
(c) Both will cover an equal distance
(d) None of these
Answer: option c is the correct answer
Q16. In a particular time, the total distance travelled by the body is equal to
(a) the area which v vs t graph encloses with displacement axis
(b) the area which x vs t graph encloses with the time axis
(c) the area which v vs t graph encloses with time axis
(d) the area which a vs t graph encloses with axis
Answer: option c is the correct answer.
