# 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 .

• 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 and its velocity at the end of this period.

• A,
• B,
• C,
• D,

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 and its initial velocity .

• A,
• B,
• C,
• D,