Displacement, velocity, acceleration

One dimensional motionAnalysing motion

Displacement A man walks 4 km east and then turns north and walked 3 km. What is the total distance he traveled? What is his total displacement?

Average Speed

𝑣=𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒

𝑡𝑖𝑚𝑒

Average Velocity

𝑣=𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡

𝑡𝑖𝑚𝑒

Problem #1A car traveled an average speed of 45 km/h for 30 minutes. How far did the car travel in m?

Acceleration

�⃑�=∆𝑣𝑡

Problem #2A body at rest starts to move to the right with an acceleration of 2 m/s2. What is its velocity after 3 s?

Problem #3A body moving with an initial velocity of 3 m/s accelerates at a rate of 2m/s2. What is its velocity after 4 s?

Uniform acceleration

HW 3.1. Show your complete solution. Write your answers on your notebook.

1. A toy car is accelerated so that its velocity changes from 1.5m/s to 4m/s in 4 seconds. What is the acceleration of the toy car?

2. A delivery van changes its velocity from 20m/s to 60m/s while covering a distance of 300m. What is the van’s acceleration?

3. A car is speeding at 97 km/h on a level road. Determine its acceleration in m/s2 if it stopped after 10 seconds.

Position (m)

Time (s)

0 00.5 0.5

12345

Complete the table based on the graph.

Source: https://physicsdork.files.wordpress.com/2015/09/xt-to-mm.png

ExampleA train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0 s. It runs at a constant speed for 70.0 s and slows down at a rate of 3.50 m/s2 until it stops to the next station. Find the total displacement.

Uniform acceleration in Vertical motion

Where g is

acceleration due to gravityg=9.8 m/s2

Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg

Uniform acceleration in Vertical motion SW 3.1. Complete the table. Show

your solution.


Distance (m) Time (s)

0 04.9 119.6 2

345

Uniform acceleration in Vertical motion SW 3.1. Complete the table. Show

your solution


Velocity (m/s) Time (s)

0 09.8 119.6 2

345

Uniform acceleration in Vertical motion


Where g is

acceleration due to gravityg=9.8 m/s2


Examplet=0, d=0t=1s, d=4.9m

Distance (m) Time (s)0 0

4.9 119.6 244.1 378.4 4122.5 5

t=2s, d=19.6m

t=3s, d=44.1m

t=4s, d=78.4m

HW 3.2 #1An antelope moving with constant

acceleration covers the distance between two points 70 m apart in 7.0 seconds. Its speed as it passes the second point is 15.0 m/s. a) what is its speed (m/s) at the first point? (5pts) b) What is its acceleration (m/s2)? (5pts)

Source: http://dreamatico.com/data_images/gazelle/gazelle-2.jpg

HW 3.2 #2A one-peso coin is dropped from the 4th floor of Maksci. It starts from rest and falls freely. Compute its position, in meters, after 1.0 s, 2.0 s, and 3.0 s. (15pts)

Source: http://dagmay.kom.ph/wp-content/uploads/2012/09/piso-300x300.jpg

HW 3.2 #3a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground? (5pts) b) how long, in seconds, was it in the air? (5pts)

Source: http://cdn.orkin.com/images/fleas/flea-close-up_1586x1275.jpg

Education

Displacement, velocity, acceleration