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2NOTE: All of these equations require constant acceleration.
ππ = ππ = π°ππππππ π½πππππππ
π = ππ = πππππ π½πππππππ
π = ππππππππππππ ππππππππ
π = βπ = π πππππππππππ
π = ππππ
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
1. Write down the known values
2. ππ = π
3. What equation should I use?
5
ππ = π. ππ/π
π = ?
π = π. πππ/ππ
π = ππ. ππ
π = ?
π =π
ππππ, π π = πππ,
π(π )
π= ππ
π =π(π )
π=
π(ππ.π)
π.ππ= π. πππ
6
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
ππ = ππ/π
π = ππ. ππ/π
π = π. πππ/ππ
π = ?
π = ?
ππ = πππ
π =πππ
ππ=
ππ.ππ
π(π.ππ)= ππππ
8
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
1. Write down known values
2. ππ = π
3. Sometimes, 1 eqn is not enoughβ¦
10
ππ =πππππ
πβπππππ
πππππ= πππ/π
π = ππ/π
π = ?
π = π. ππ
π = ?
[EQ3] π = βπππ
πβπ= β
πππ
π.π= βππππ/ππ
[EQ1] π =ππβππ
π=
πβππ
βπππ= π. ππππ
11
EQN 0:
π = ππ
π =π + πππ/π
π= πππ/π
π =π
π=
ππ
πππ/π= π. ππππ
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:
π = 9.8π
π 2πππ€π