Physics Chapter on Motion and Velocity

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Questions and Answers

What is the velocity of the ball just before it hits the ground after being dropped from a height of 1.5 m?

0 m/s
3.87 m/s (correct)
4.90 m/s
6.26 m/s

What would the value of the initial velocity ($v_i$) be for the first drop if the ball was dropped from a height of 1.5 m?

0 m/s (correct)
4.5 m/s
3.0 m/s
2.2 m/s

What is the total time of flight for the ball after it is dropped and before its first bounce?

0.50 s
0.23 s
0.12 s
0.46 s (correct)

How high does the ball bounce after the first fall?

0.75 m (C) Signup and view all the answers

What does the position-time graph of the ball look like after the first two bounces?

An inverted parabolic shape descending and ascending (A) Signup and view all the answers

How far did the hockey puck move between 0.0 s and 5.0 s?

100 m (B) Signup and view all the answers

What is the time taken for the puck to move from 40 m to 80 m beyond the origin?

2.0 s (B) Signup and view all the answers

If two students compared their position vectors at t = 2 s and found them pointing in different directions, what is a likely reason?

They used different origin points. (A) Signup and view all the answers

At what moment does the hockey puck first pass 10.0 m beyond the origin?

0.5 s (B) Signup and view all the answers

Which graph information is primarily used to calculate instantaneous acceleration?

Velocity-time graph (B) Signup and view all the answers

For a uniform motion of an object, which statement is true?

The object covers equal distances in equal intervals of time. (B) Signup and view all the answers

What characterizes a displacement vector compared to a position vector?

Displacement depends on the choice of origin. (C) Signup and view all the answers

When is the toy train's speed considered constant according to the v-t graph?

When the graph is horizontal. (A) Signup and view all the answers

What is the final position of the first ship?

52 km west (D) Signup and view all the answers

Which statement correctly describes the relationship between an object's velocity and its position?

Velocity is the rate of change in its position. (A) Signup and view all the answers

What is the average velocity of object A based on the given data?

-2 m/s (B) Signup and view all the answers

How do the average velocities of objects C and D compare?

Both have equal magnitudes but different signs. (D) Signup and view all the answers

What is the correct ranking of the average speeds from greatest to least?

A, B, C, D (A) Signup and view all the answers

What is the final position of the second ship?

40 km west (D) Signup and view all the answers

What can be inferred about the average velocity of object B?

It is greater than that of object C. (B) Signup and view all the answers

Which of the following correctly states the average velocity of object D?

1 m/s (B) Signup and view all the answers

How long does it take for the race car to slow down from 44 m/s to 22 m/s?

11 seconds (C) Signup and view all the answers

What is the average acceleration of the race car during its deceleration?

-2 m/s² (D) Signup and view all the answers

What distance did the race car travel while decelerating?

360 m (C) Signup and view all the answers

What is the time taken for the car to accelerate from 15 m/s to 25 m/s over a distance of 125 m?

6.25 seconds (C) Signup and view all the answers

What was the initial velocity of the bike if it reaches a velocity of 7.5 m/s in 4.5 seconds?

0.94 m/s north (B) Signup and view all the answers

How far does the bike travel when reaching a velocity of 7.5 m/s at 4.5 seconds?

19 m north (A) Signup and view all the answers

What was the average acceleration of the bike during its acceleration phase?

1.66 m/s² (B) Signup and view all the answers

What was the car's velocity (𝑣i) at point 𝑥i if it travels 350 m in 18.4 seconds with a forward acceleration of 0.22 m/s²?

10 m/s (A) Signup and view all the answers

What is the average velocity of the car from its starting position of 125.0 m to the origin in 5.0 s?

−25 m/s (B) Signup and view all the answers

At what time does the car reach a position of 25.0 m east of the origin?

4.0 s (C) Signup and view all the answers

What distance did the car cover between t = 1.0 s and t = 3.0 s?

50 m west (C) Signup and view all the answers

If the positive x-direction is east, what would be the position of the car at t = 1.0 s?

100.0 m east of the origin (C) Signup and view all the answers

What can be inferred if the pedestrians in Figure 14 move with the same velocity?

They are moving in the same direction. (D) Signup and view all the answers

What does the negative sign represent in the car's average velocity of −25 m/s?

The car is moving west. (A) Signup and view all the answers

How is displacement calculated between two time points?

By using the formula ∆𝑥 = 𝑥f − 𝑥i. (D) Signup and view all the answers

What is the position of the car at time t = 3.0 s?

−25.0 m east of the origin (A) Signup and view all the answers

What is the formula to calculate the final velocity ($v_f$) for an object in free fall over time ($ riangle t$)?

$v_f = v_i - g riangle t$ (B) Signup and view all the answers

If an object is dropped from rest, what would its maximum time of flight ($t_{max}$) be before reaching the ground?

$t_{max} = rac{v_i}{g}$ (B) Signup and view all the answers

In the equation $y = y_0 + v_i t - rac{g t^2}{2}$, what does the term $y_0$ represent?

The initial height (A) Signup and view all the answers

How is the initial velocity ($v_i$) calculated when given a maximum height of 0.75 meters?

$v_i = ext{sqrt}(0.75 imes 2g)$ (C) Signup and view all the answers

What will be the value of the term $y$ when an object is dropped and not yet reached the ground, given $g = 9.8 ext{m/s}^2$ and initial height of 1.5 meters?

$y = 1.5 - 4.9t^2$ (A) Signup and view all the answers

Upon landing after the second bounce, how is the final velocity ($v_f$) represented?

$v_f = ext{sqrt}(14.7) - 9.8t$ (D) Signup and view all the answers

If it takes 0.55 seconds for an object to fall, what formula would you use to calculate the distance fallen?

$d = rac{1}{2} g t^2$ (B) Signup and view all the answers

What describes the relationship between gravitational acceleration and time during free fall?

Velocity increases linearly with time (A) Signup and view all the answers

Flashcards

Car's motion description (Figure 13)

The car starts at 125.0 m east, moves towards the origin, reaching it in 5.0 seconds. It then continues moving eastward.

Average velocity calculation

Average velocity is calculated as the change in position divided by the change in time.

Equation of motion (Position vs. Time)

The equation x = vt + xi describes the position (x) of an object with a constant velocity (v) over time (t), starting at an initial position (xi).

Calculating position at a specific time

To find the position at a specific time, substitute the known values of velocity, initial position, and time into the equation: x = vt + xi.