Free Printable Assertion reason motion chapter

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Assertion reason motion chapter

Total questions: 45

Worksheet time: 34mins

Name

Class

Date

Use the graph to help you answer the question. According to the graph, how does the motion of the car compare to the motion of the truck?

The car is showing a greater rate of positive acceleration than the truck.

The truck is showing a greater rate of positive acceleration than the car.

The truck is showing a greater rate of negative acceleration than the car.

The car is showing a greater rate of negative acceleration than the truck.

Based on the graph, what can you say about the truck’s motion at 4 seconds?

The truck is traveling downhill.

The truck’s average speed is 20 m/s.

The truck has an instantaneous speed of 20 m/s.

The truck’s speed is the same as it is throughout because the line has the same slope.

Which of the following position vs. time graphs shows an object that is moving with a constant positive velocity?

A ball rolls down a ramp with a constant acceleration. What would the corresponding position vs. time and velocity vs. time graphs be for the motion of the ball down the ramp?

Which of the following position vs. time graphs shows an object increasing its speed?

What is occurring on this graph?

slowing down in the positive direction

moving at a constant speed in the positive direction

positive change in momentum

positive net force

Which runner had a head start?

This is a velocity-time graph. What is the object doing in segment B?

Positive acceleration

Negative acceleration

Constant Velocity

Not moving

How long did it take this object to travel 10 m?

0 s

10 s

15 s

20 s

10.

How far is the person from the starting point after 3 seconds?

0 m

2 m

3 m

6 m

11.

What is happening between 2 and 3 seconds?

The object is not moving.

The object is not accelerating.

The object is slowing down.

The object is speeding up.

12.

What was the total distance traveled by the object during the entire time interval?

0 m

8 m

16 m

24 m

13.

A car slows down from +32 m/s to +8 m/s in 4 s. The acceleration is

6 m/s/s opposite the motion

2m/s/s in the direction of motion

8 m/s/s opposite the motion

14.

An airplane accelerates down a runway at 3.20 m/s/s for 8 s until it finally lifts off the ground. The velocity of 25.6 m/s at liftoff is

instantaneous

average

15.

How long would it take a car, starting from rest and accelerating uniformly in a straight line at 5 m/s², to cover a distance of 200m

9.0s

10.5s

12.0s

15.5s

16.

A swimmer's speed in the direction of flow of river is 16 km h ^-1 . Against the flow of river, the swimmer's speed is 8 km h ^-1 . The swimmer's speed in still water and the velocity of flow of the river respectively are

12 km h ^{-1 ,}4 km h ^-1

4 km h ^-1,12 km h ^-1

24 km h ^-1,16 km h ^-1

16 km h ^-1,24 km h ^-1

17.

A particle is thrown vertically upward. Its velocity at half of the height is 10 m /s then the maximum height attained by it is ( g = 10m/s²)

20m

10m

16m

18.

If the velocity is v = 2i + t²j - 9 k , then the magnitude of acceleration at t = 0.5 s is ___

1 m s ^-2

2 m s ^-2

zero

-1 m s ^-2

19.

Identify the unit vector in the following.

20.

If an object is dropped from the top of

a building and it reaches the ground at t

= 4 s , then the height of the building is

(ignoring air resistance) (g = 9.8 ms–2)

77.3 m

78.4 m

80.5 m

79.2 m

21.

A ball is projected vertically upwards

with a velocity v. It comes back to ground

in time t. Which v-t graph shows the

motion correctly?

22.

A unit vector is used to specify

only magnitude

only direction

either magnitude or direction

absolute value

23.

Slope of displacement -time graph gives

velocity

speed

acceleration

displacement

24.

Which one of the following does not belong to motion in one dimension (v-t) graph

25.

How far has the red runner gone in 3 seconds?

40 yards

10 yards

30 yards

20 yards

26.

What is the derivative of xⁿ?

(n-1)xⁿ

nxⁿ⁺¹

(n+1)x^n-1

nx^n-1

27.

What is the derivative of tan(x)?

-sec²(x)

-csc²(x)

sec²(x)

csc²(x)

28.

What is the derivative of cos(x)?

sin(x)

-sin(x)

cos(x)

-cos(x)

29.

Does
y = -4x²
have a maximum or minimum value?

maximum

minimum

both

neither

30.

If a function has a second derivative that is negative, what does that tell you?

The function is increasing

The function is decreasing

The function is concave up

The function is concave down

31.

R(t) represents the rate at which people enter a line, measured in people per minute. What does R'(3) = 4 represent?

At t = 3 minutes, people are entering the line at a rate of 4 people per minute.

At t = 3 minutes, the rate at which people are entering the line is increasing at a rate of 4 people per minute per minute.

At t = 3 minutes, there are 4 people in line.

At t = 4 minutes, 3 people are in line.

32.

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

The temperature of the biscuits at 10 minutes

The average temperature of the biscuits on the time interval 3 to 10 minutes.

The average rate of temperature on the interval 3 to 10 minutes.

The change in temperature of the biscuits on the time interval 3 to 10 minutes.

33.

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

The temperature of the biscuits at 10 minutes

The average temperature of the biscuits on the time interval 3 to 10 minutes.

The average rate of temperature on the interval 3 to 10 minutes.

The change in temperature of the biscuits on the time interval 3 to 10 minutes.

34.

A particle travels along the x-axis. The position of the particle at t = 4 is 10. Which of the following would give you the position of the particle at t = 7?

v(7)

v(4) + v(7)

35.

The rate at which the temperature outside is changing is represented by the function O(t). What does the following represent?

The temperature after 12 minutes is 15 degrees.

The temperature has increased 15 degrees on the time interval 5 to 12 minutes.

The rate of change of temperature on the interval 5 to 12 minutes is 15.

The temperature at 5 minutes is 15 degrees.

36.

H(t) represents the number of hats purchased at a store after t hours. What does the above notation represent ?

The number of hats sold on the time interval 4 to 8 hours was 32.

The number of hats sold at t = 8 hours was 32.

The rate at which hats were sold on the interval 4 to 8 hours was 32.

The number of hats sold at t = 4 hours was 32.

37.

$\frac{\text{d}}{\text{d}y}(\frac{2}{3}x^2-2x+4)=....$

$\frac{4}{3}x+2$

$\frac{4}{3}x^2-2$

$\frac{4}{3}x-2$

$\frac{4}{3}x^2+2$

$\frac{4}{3}x^2+2x$

38.

Assertion : A body may be accelerated even when it is moving uniformly.

Reason : When direction of motion of the body is changing, the body must have acceleration

a) Assertion is correct, reason is correct; reason is a correct explanation for assertion.

(b) Assertion is correct, reason is correct; reason is not a correct explanation for assertion