83 free MCQs on Motion in a Straight Line, each with its own worked answer and explanation. Equations of motion, projectile motion, relative velocity. Foundation of all mechanics.
Take the timed Motion in a Straight Line chapterwise test →83 practice questions on Motion in a Straight Line, sorted Easy → Hard. Try each one first, then open its answer page for the worked explanation. Want the full theory first? Read the Motion in a Straight Line notes.
On a velocity-time graph for uniform acceleration, the slope of the line gives the acceleration and the shaded area under the line gives the displacement.
Q1.
If the total displacement of a body over an interval is zero, its average velocity for that interval is:
Q2.
For a body falling freely from rest, the distance covered is proportional to:
Q3.
The numerical ratio of the magnitude of displacement to the distance travelled is always:
Q4.
A ball thrown vertically upward is at the highest point of its path. Its acceleration there is:
Q5.
A body has negative acceleration while moving with a positive velocity. The body is:
Q6.
A car travels 60 km in 2 hours. What is its average speed?
Q7.
Which of the following is a vector quantity?
Q8.
A ball is dropped from rest and falls freely. Its acceleration is:
Q9.
What does the slope of a displacement-time graph represent?
Q10.
A body moving with uniform velocity has acceleration equal to:
Q11.
A train starts from rest and accelerates at 2 m/s² for 10 seconds. Its final velocity is:
Q12.
Which equation of motion connects velocity, acceleration, and displacement (without time)?
Q13.
The area under a velocity-time graph gives:
Q14.
Odometer in a vehicle measures:
Q15.
The shortest straight-line distance between the initial and final positions of a body is its:
Q16.
The rate of change of displacement with time is:
Q17.
The rate of change of velocity with time is:
Q18.
Which of these is a scalar quantity?
Q19.
The SI unit of velocity is:
Q20.
The SI unit of acceleration is:
Q21.
A body covering equal distances in equal intervals of time has ___ motion:
Q23.
Displacement is a ___ quantity:
Q24.
The slope of a distance–time graph gives the:
Q25.
When a body is at rest, its velocity is:
Q26.
A car accelerates uniformly from 10 m s<sup>-1</sup> to 30 m s<sup>-1</sup> in 4 s. The distance it covers in this time is:
Q27.
A ball thrown vertically upward with speed 25 m s<sup>-1</sup> returns to the point of projection after (g = 10 m s<sup>-2</sup>):
Q28.
A velocity-time graph is a straight line from the origin (0, 0) to (5 s, 20 m s<sup>-1</sup>). The distance covered in these 5 s is:
Q29.
A stone is dropped from rest from a tower and reaches the ground in 4 s (g = 10 m s<sup>-2</sup>). The height of the tower is:
Q30.
A particle starts from rest and moves with acceleration a = 3t m/s². Its velocity at t = 4 s is:
Q31.
A ball is thrown upward with velocity 20 m/s. Maximum height reached is (g=10 m/s²):
Q32.
A car starts from rest and reaches 72 km/h in 10 seconds. Distance covered is:
Q33.
A body travels half its total distance with speed v<sub>1</sub> and half with v<sub>2</sub>. Its average speed is:
Q34.
In a velocity-time graph, what does the area between the graph and the time axis represent?
Q35.
A body accelerates uniformly from 0 to 60 m/s in 5 s, then decelerates to rest in 5 s. Average velocity is:
Q36.
The slope of a velocity–time graph gives the:
Q37.
The area under a velocity–time graph gives the:
Q38.
Which equation of motion directly relates v, u, a and t?
Q39.
For a body in free fall near the Earth, the acceleration is:
Q40.
A body starting from rest (u = 0) with acceleration a has, after time t, a velocity of:
Q41.
The displacement of a body moving with uniform velocity v for time t is:
Q42.
A decelerating car has an acceleration that is:
Q43.
The equation s = ut + ½at² is used to find the:
Q44.
If a body moves with constant velocity, its acceleration is:
Q45.
The velocity–time graph of a uniformly accelerated body is a:
Q46.
The velocity–time graph of a body moving at constant velocity is a:
Q47.
A body thrown vertically upward has, at its highest point, a velocity of:
Q48.
Average velocity is the total displacement divided by the total:
Q49.
Instantaneous velocity is the velocity of a body at a particular:
Q50.
A car travelling at 30 m/s is brought uniformly to rest over a distance of 75 m. The magnitude of its deceleration is:
Q51.
For uniformly accelerated motion, a body covers 40 m in the 4th second and 60 m in the 6th second. The acceleration is:
Q52.
Two cars move in the same direction along a road: A at 20 m s<sup>-1</sup> and B at 15 m s<sup>-1</sup>, with B 100 m ahead of A. The time for A to catch up with B is:
Q53.
A particle starting from rest moves with uniform acceleration and covers a distance s in the first 10 s. The distance covered in the next 10 s is:
Q54.
A body thrown vertically upward returns to the ground after 6 s. The maximum height it reaches is (g = 10 m s<sup>-2</sup>):
Q55.
A particle moves with position x = 2t<sup>3</sup> - 3t<sup>2</sup> + 4t (SI units). Its velocity at the instant its acceleration is zero is:
Q56.
A particle moves along x-axis with x = 3t² - 4t + 1 (in meters, t in seconds). Velocity at t=2 s is:
Q57.
Two particles A and B start from origin simultaneously. A moves along x-axis at 3 m/s; B at 4 m/s along y-axis. Distance between them after 5 s:
Q58.
A ball is projected at 60° with initial speed 40 m/s. Height at which it makes 30° with horizontal (g=10):
Q59.
Acceleration of particle = 3t² - 2t. If initial velocity = 1 m/s, velocity at t = 3 s is:
Q60.
A ball thrown horizontally at 20 m/s from height h hits ground at 45° angle. h = (g=10):
Q61.
A particle starts with zero velocity and has acceleration a = 2 m/s². The distance covered in nth second is:
Q62.
A particle at height 40 m is thrown horizontally. Another is thrown upward from ground directly below with speed 10 m/s. They collide after (g=10):
Q63.
A particle moves in a straight line with velocity v = 2√x m/s (x in m). Acceleration at x=2 m is:
Q64.
A body moving at 20 m/s decelerates uniformly at 4 m/s². It comes to rest after:
Q65.
A stone dropped from rest falls for 3 s. Its speed then is (g = 10 m/s²):
Q66.
A car accelerates from rest at 2 m/s² for 5 s. The distance covered is:
Q67.
The displacement in the nth second, sₙ = u + (a/2)(2n − 1), has units of:
Q68.
A body moving at 10 m/s accelerates at 2 m/s² for 3 s. Its final velocity is:
Q69.
A ball thrown vertically up at 20 m/s reaches its highest point after (g = 10 m/s²):
Q70.
The maximum height reached by a ball thrown up at 20 m/s is (g = 10 m/s²):
Q71.
A velocity–time graph is a horizontal line above the time axis. The body has:
Q72.
Using v² = u² + 2as, a body starting from rest reaches 10 m/s over 25 m. Its acceleration is:
Q73.
Two bodies fall freely from different heights in a vacuum. They share the same:
Q74.
The area under an acceleration–time graph gives the change in:
Q75.
A body moving with uniform velocity has an acceleration–time graph that is:
Q76.
A ball is dropped from rest and travels 25 m in the last second of its fall (g = 10 m/s²). The total height of fall is:
Q77.
A stone is thrown vertically up at 30 m/s (g = 10 m/s²). The time interval between the two instants when it is at a height of 40 m is:
Q78.
A particle moves along a line with position x = t³ − 6t² + 9t (metres). Its acceleration is zero at times:
Q79.
Rain falls vertically. To a man walking at 4 km/h, the rain appears to come at 30° from the vertical. The actual speed of the rain is:
Q80.
A ball is dropped from height h and after each bounce rebounds to half the previous height. The total path length travelled before it comes to rest is:
Q81.
A car covers the first half of a distance at 40 km/h and the second half at 60 km/h. Its average speed for the whole trip is:
Q82.
A particle starts from rest with uniform acceleration. The ratio of the distance covered in the 5th second to that covered in the 1st second is:
Q83.
A body moving at 20 m/s decelerates uniformly at 2 m/s². The distance it covers during the 6th second of its motion is:
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