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AST101H1 Chapter Notes -Conservation Law, Net Force, Gravitational Energy

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16 Nov 2012

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AST101H1 Full Course Notes

AST101H1 Full Course Notes

Document Summary

Speed: how far something will go in a given amount of time. Accelerations: occurs when the velocity changes in any way whether in speed, direction or both (speeding up, slowing down or turning) slowing down: when acceleration is in a direction opposite to the motion = negative. Turning changes the velocity because it changes the direction in which you are moving therefore turning is a form of acceleration. One of the most important types of acceleration is that caused by gravity. Gravity accelerates all objects by the same amount ex: a book and pencil will hit the ground at the same time. Acceleration of gravity: the acceleration of a falling object = g. Therefore the acceleration of gravity is about 10 meters per second per second or 10 meters per second squared. Momentum: the product of an object"s mall and velocity (momentum= mass + velocity) Force: the only way to change an object"s momentum is to apply a force.

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Related Questions

1. What is the difference between speed and velocity?

a. Speed is an average quantity while velocity is not.

b. Velocity contains information about the direction of motion while speed does not.

c. Speed is measured in mph, while velocity is measure in m/s.

d. The concept of speed applies only to objects that are neither. speeding up or slowing down, while velocity applies to every kind of motion.

e. Speed is used to measure how fast an object is moving in a straight line, while velocity is used for objects moving along curved paths.

2. The quantity 2.67 x 10³ has how many significant figures?

3. If Libby walks 100 m to the right, then 200 m to the left, her net displacement vector points

a. to the right.

b. to the left.

c. has zero length.

d. cannot tell without more information.

4. Velocity vectors point

a. in the same direction as displacement vectors.

b. in the opposite direction as displacement vectors.

c. perpendicular to displacement vectors.

d. in the same direction as acceleration vectors.

e. velocity is not represented by a vector.

chocolatemouse942

A particle moves according to a law of motion is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) Whan is the particle at rest?

(d) When is the particle moving in the positive direction?

(e) Find the total distraveled during the first 6 seconds.

(f) Draw a diagram like Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the positio, velocity, and acceleration function for

(i) When is the particle speeding up? When is it slowing down?

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) When is the particle at rest?

(d) When is the particle moving in a positive direction?

(e) Find the total distance travelled during the first 6 seconds.

(f) Draw a diagram like a Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6.

(i) When is the particle speeding up? When is it slowing down?

FIGURE 2

f(t) = t³ – 8t² + 24t