12

NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

  • Upload
    others

  • View
    2

  • Download
    0

Embed Size (px)

Citation preview

Page 1: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at
Page 2: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

2NOTE: All of these equations require constant acceleration.

Page 3: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

𝒗𝒐 = π’—π’Š = π‘°π’π’Šπ’•π’Šπ’‚π’ π‘½π’†π’π’π’„π’Šπ’•π’š

𝒗 = 𝒗𝒇 = π‘­π’Šπ’π’‚π’ π‘½π’†π’π’π’„π’Šπ’•π’š

𝒂 = π’‚π’„π’„π’†π’π’†π’“π’‚π’•π’Šπ’π’ 𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕

𝒅 = βˆ†π’™ = π’…π’Šπ’”π’‘π’π’‚π’„π’†π’Žπ’†π’π’•

𝒕 = π’•π’Šπ’Žπ’†

Page 4: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at a constant 2.00m/s2.

4

Page 5: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

1. Write down the known values

2. π’—π’Š = 𝟎

3. What equation should I use?

5

Page 6: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

𝒗𝒐 = 𝟎. πŸŽπ’Ž/𝒔

𝒗 = ?

𝒂 = 𝟐. πŸŽπŸŽπ’Ž/π’”πŸ

𝒅 = πŸ‘πŸŽ. πŸŽπ’Ž

𝒕 = ?

𝒅 =𝟏

πŸπ’‚π’•πŸ, 𝟐 𝒅 = π’‚π’•πŸ,

𝟐(𝒅)

𝒂= π’•πŸ

𝒕 =𝟐(𝒅)

𝒂=

𝟐(πŸ‘πŸŽ.𝟎)

𝟐.𝟎𝟎= πŸ“. πŸ’πŸ–π’”

6

Page 7: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

A plane must reach a speed of 33m/s for takeoff. How long of a runway is needed if the acceleration is 3.0m/s2?

HINT: I have velocity and acceleration, but I need displacement. Which equation should I use?

7

Page 8: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

𝒗𝒐 = πŸŽπ’Ž/𝒔

𝒗 = πŸ‘πŸ‘. πŸŽπ’Ž/𝒔

𝒂 = πŸ‘. πŸŽπŸŽπ’Ž/π’”πŸ

𝒅 = ?

𝒕 = ?

π’—πŸ = πŸπ’‚π’…

𝒅 =π’—π’‡πŸ

πŸπ’‚=

πŸ‘πŸ‘.𝟎𝟐

𝟐(πŸ‘.𝟎𝟎)= πŸπŸ–πŸπ’Ž

8

Page 9: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

Problem: A car travelling at 100km/hexperiences a head-on collision and comes to a complete stop after compressing about 1.0m. How long does it take for the car to stop?

9

Page 10: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

1. Write down known values

2. 𝒗𝒇 = 𝟎

3. Sometimes, 1 eqn is not enough…

10

Page 11: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

𝒗𝒐 =πŸπŸŽπŸŽπ’Œπ’Ž

π’‰βˆ—πŸπŸŽπŸŽπŸŽπ’Ž

πŸ‘πŸ”πŸŽπŸŽπ’”= πŸπŸ–π’Ž/𝒔

𝒗 = πŸŽπ’Ž/𝒔

𝒂 = ?

𝒅 = 𝟏. πŸŽπ’Ž

𝒕 = ?

[EQ3] 𝒂 = βˆ’π’—π’ŠπŸ

πŸβˆ†π’™= βˆ’

πŸπŸ–πŸ

𝟐.𝟎= βˆ’πŸ‘πŸ—πŸŽπ’Ž/π’”πŸ

[EQ1] 𝒕 =π’—π’‡βˆ’π’—π’Š

𝒂=

πŸŽβˆ’πŸπŸ–

βˆ’πŸ‘πŸ—πŸŽ= 𝟎. πŸŽπŸ•πŸπ’”

11

EQN 0:

𝒅 = 𝒗𝒕

𝒗 =𝟎 + πŸπŸ–π’Ž/𝒔

𝟐= πŸπŸ’π’Ž/𝒔

𝒕 =𝒅

𝒗=

πŸπ’Ž

πŸπŸ’π’Ž/𝒔= 𝟎. πŸŽπŸ•πŸπ’”

Page 12: NOTE: All of these equations require constant …...Problem: How long does it take for a car to cross a 30.0m wide intersection after the light turns green. The car accelerates at

A student throws a ball straight up in the air at 14.2 m/s. What is its velocity when it is 6.0 m above its point of release?

Hint: Acceleration due to gravity:

𝑔 = 9.8π‘š

𝑠2π‘‘π‘œπ‘€π‘›