projectile motion

1. By: Benzel Karl P. Quilbio
Science Teacher
LEYTE PROGRESSIVE HIGH SCHOOL
WEEK 1
Q4

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PROJECTILE MOTION
• projectile’s motion –
objects moving in two
dimensions.
• Objects that are moving
at a constant acceleration
are said to be in a
Uniformly Accelerated
Motion (UAM). In other
words, the acceleration
does not change; it is
uniform throughout.
Image source:
https://fldscc.com/wp-content/uploads/2020/01/Blog-1.30.20-
1200x831.jpg

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What have you noticed with the velocity of the
airplane in the figure above? In the first second, the
velocity is 5m/s, in the next time it becomes 10m/s,
and on the third second it becomes 15m/s. Notice
that the velocity of the airplane as it runs on the
runway is increasing.

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When the velocity changes every second, it means that
the airplane is accelerating. How much is the change
in velocity for every second? If you try calculating for
the change in velocity from 1s to 2s, that is 10m/s –
5m/s = 5m/s. The change in velocity from 2s to 3s is
15m/s – 10m/s = 5m/s.

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Notice that the change in velocity for every second is
5m/s, it is not changing, it remains the same or
uniform for every second. The figure shows that the
airplane is moving faster at a constant acceleration.
This motion is referred to as Uniformly Accelerated
Motion (UAM).

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Sample Problem1
An airplane from rest accelerates on a runway
at 5.50 m/s2 for 20.25s until it finally takes off
the ground. What is the distance covered before
takeoff? Note: If the airplane started from rest,
it means to say that the initial velocity is zero.

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STEP 1
Write the given or what information is given
in the problem.
STEP 2
Next, find out which formula to use in solving
the problem. Use the formula checklist table
below to help you find out which formula to
use.

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STEP 3
Solve the problem using the chosen
formula.

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Sample Problem 2
A motorcycle from rest accelerates
uniformly over a time of 3.25 seconds
and covers a distance of 15 m. What is
the acceleration of the motorcycle?

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Uniformly Accelerated Motion (UAM):
Vertical Dimension
You have been introduced to the
concept of gravity in Grade 8. You have
learned that gravity acts on all objects
by pulling it towards the center of the
Earth. So, on Earth when you throw
something up, it will go down.

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Things thrown upward always fall at a
constant acceleration (ag) which has a
magnitude of 9.8 m/s2. This means
that the velocity of an object in free fall
changes by 9.8 m/s every second of fall.

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Consider a stone dropped from a cliff as
shown in Figure 2. For equal time
interval, the distance travelled increases
quadratically.

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Sample Problem 1
Ben is playing with his ball on top of a
building, but the ball fell and hits the ground
after 2.6 seconds, what is the final velocity of
the ball just before it hits the ground and
how high is the building?
Note: The initial velocity of an object that is falling
or dropped from a height will always be equal to 0
m/s, since the object started from rest. Replace the
variable d (displacement) with h (height) since we
are referring to the position of an object from top to
bottom.

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Motion in Two Dimensions
• Have you seen a soccer player kick a
ball? Or a basketball player shoots a
ball into the ring? What have you
noticed with the path the balls travel?
• If you noticed, the balls travel a curve
path. The curve naturally happens
when an object, called a projectile,
moves in two dimensions – having both
horizontal and vertical motion.

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Calica, J., Diola, W., Miramonte, M., Tamayo, C., Jalon, M., & Regis, D. (
2019). Understanding Life Through Science. 927 Quezon City
Avenue, Quezon City: Phoenix Publishing House, Inc.