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Lesson Worksheet: Kinematic Equations Mathematics

In this worksheet we will practice applying the laws of the uniform acceleration motion of a particle in a straight line.

Q1:

When a particle moves in a straight line in a constant velocity, the magnitude of its acceleration .

  • Adecreases
  • Bis constant and not equal to zero
  • Cis zero
  • Dincreases

Q2:

Determine the time required for a particle to increase its velocity from 7 m/s to 18 m/s over a distance of 269 m, given that it is moving in a straight line with a uniform acceleration.

Q3:

A particle started moving in a straight line from rest with a uniform acceleration of 5.4 m/s2. Determine its velocity after 2 seconds from when it started moving.

Q4:

If a particle started moving in a straight line with an initial velocity of 25.1 cm/s and a uniform acceleration of 2.4 cm/s2, determine its velocity after 9 seconds.

Q5:

A particle, moving in a straight line, was accelerating at a rate of 22 cm/s2 in the same direction as its initial velocity. If the magnitude of its displacement 10 seconds after it started moving was 29 m, calculate the magnitude of its initial velocity 𝑣 and its velocity 𝑣 at the end of this period.

  • A𝑣=1.8/ms, 𝑣=4/ms
  • B𝑣=4/ms, 𝑣=6.2/ms
  • C𝑣=7.3/ms, 𝑣=9.5/ms
  • D𝑣=2.35/ms, 𝑣=4.55/ms

Q6:

Given that a particle started moving from rest with a constant acceleration of 3.5 m/s2 until its velocity became 378 km/h, find the distance it covered.

Q7:

A small ball started moving horizontally at 16.3 m/s. It moved in a straight line with a uniform deceleration of 3 m/s2. Determine the distance the ball covered in the first 2 seconds.

Q8:

A particle was decelerating in a straight line at a rate of 4 cm/s2. If it momentarily came to rest 10 seconds after it started moving, find the distance it covered in 18 seconds.

Q9:

A particle was moving in a straight line with a constant acceleration of 2 cm/s2. Given that its initial velocity was 60 cm/s, find the velocity of the body when it was 15 m from the starting point.

Q10:

A body was uniformly accelerating in a straight line such that it covered 72 m in the first 3 seconds and 52 m in the next 4 seconds. Find its acceleration 𝑎 and its initial velocity 𝑣.

  • A𝑎=22/ms, 𝑣=57/ms
  • B𝑎=227/ms, 𝑣=2017/ms
  • C𝑎=4/ms, 𝑣=18/ms
  • D𝑎=47/ms, 𝑣=1627/ms

This lesson includes 75 additional questions and 364 additional question variations for subscribers.

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