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Chapter N4. Motion from forces Due Friday: N4.B1, B2, B.7, B.8. These are graphs showing the motion of a car along a straight road. Explain what is happening to the displacement, the velocity and the acceleration of the car. r. v. a. t. Problems.

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chapter n4

Chapter N4

Motion from forces

Due Friday: N4.B1, B2, B.7, B.8

slide2

These are graphs showing the motion of a car along a straight road. Explain what is happening to the displacement, the velocity and the acceleration of the car.

r

v

a

t

problems
Problems
  • Case 1. An object is thrown straight into the air and falls back. t=0 when the object leaves the hand which happens at y = 0. Draw the curve until the object comes back to the starting point.
  • Case 2. A rocket is shot straight in the air with an engine that burns for 4 seconds. It then falls back to earth.
equations for your formula sheet
Equations for your formula sheet

Similar equations exist for y, and z.

Use the x, y, or z equations depending on the direction of the force (acceleration).

Often this will be the vertical direction and the acceleration will be g.

slide5

Sample problem: A car starts from rest and accelerates (2m/s2)for 5 seconds. What are the velocity and position of the car at that time?

  • List the data on your paper, raise your hand when you are done. 6
  • x0=0, v0=0, a=2 m/s2, t = 5 sec, v = ?, x = ?.

v=10m/s

x=25m

slide6
An object is dropped starting from rest from a height of 25 m. Find the position and velocity of the object at the end of 2.2 s.
  • Write the data. Raise your hand when done.
  • y0=25 m, v0=0, a = -9.8 m/s2, t = 2.2 s, v = ?, y = ?

v = - 9.6 m/s

y = 23.7 m

How long will it take the ball to strike the ground?

t = 2.26 s

slide7

An object thrown straight up from a height of 25 m with a velocity of 12 m/s. Find the position and velocity of the object at the end of 2.2 s.

  • Write the data. Raise your hand when done.
  • y0=25 m, v0=12 m/s, a = -9.8 m/s2, t = 2.2 s, y = ?, vy=?

v = - 9.6 m/s m/s

y = -23.7 + 26.4 + 25 m = 27.7 m

t = 3.8 s

a ball is thrown straight into the air and takes 3 seconds to fall back to the ground
A ball is thrown straight into the air and takes 3 seconds to fall back to the ground.
  • What is the maximum height of the ball and with what velocity was it thrown into the air?
  • Write the data.
  • Write the equation to find the velocity with which it was thrown.
  • Find the velocity.
  • Write the equation to find the height.
  • Find the height.

v = 14.7 m/s

y = 11 m

problems due friday
Problems due Friday
  • N4.B1, B2, B.7, B.8