Quiz about Equations of Motion

Question 1

A particle moves a long the $$x-$$ axis. The function $$x\left(t\right)$$ gives the particle's position at any time, $$t\ge0$$ : $$x\left(t\right)=5t^2-12t+3.$$ What is the particle's velocity $$v\left(t\right)$$ at $$t=3$$ seconds?

Accepted Answer

78

Answer

18

Answer

42

Answer

102

Question 2

A particle moves a long the $$x-$$ axis. The function $$x(t)$$ gives the particle's position at any time, $$t≥0$$ : $$x(t)=5t^2−12t+3.$$ What is the direction of the particle's motion at $$t=3$$ ?

Accepted Answer

Right

Answer

Left

Answer

Up

Answer

Non f the above.

Question 3

The following is the assumption taken when deriving Newton's equation of Motion.

Accepted Answer

Acceleration is constant.

Answer

Displacement is constant.

Answer

Velocity is Constant.

Answer

Time is constant.

Question 4

Question 4.

Accepted Answer

Periodic motion

Answer

Linear motion

Answer

Speed

Answer

Displacement

Question 5

The distance taken by the particle at a constant acceleration is the same as the area under;

Accepted Answer

Velocity-time graph

Answer

Acceleration-time graph

Answer

Displacement-Time graph

Answer

None of the above

Question 6

The velocity-time graph of a DES II student moving along a straight line is given below. Find his average velocity.

Accepted Answer

$$3.33\ \ ms^{-1}$$

Answer

$$6.67\ ms^{-1}$$

Answer

$$5\ ms^{-1}$$

Answer

$$100\ \ ms^{-1}$$

Question 7

How far will a car move in 5 seconds if it started from rest and accelerates uniformly at 2.5 ms^-2?

Accepted Answer

31.25 m

Answer

12.5 m

Answer

125 m

Answer

6.25 m

Question 8

During which interval is the object not moving?

Accepted Answer

only at point A

Answer

B to C

Answer

C to D

Answer

D to E

Question 9

A ball falls freely from rest from a height 125m. If acceleration due to gravity is 10 m/s2 find the time taken to reach the ground.

Accepted Answer

5 seconds

Answer

25 seconds

Answer

12.5 seconds

Answer

Square root of 125

Question 10

A position-time graph of an athlete winning the 100-m run is shown. Estimate the time taken by the athlete to reach 65 m.

Accepted Answer

6.5 s

Answer

6.0 s

Answer

5.5 s

Answer

7.0 s

Question 11

The position-time graph of two runners A and B is given. When does runner B pass runner A?

Accepted Answer

45 s

Answer

40 s

Answer

35 s

Answer

50 s

Question 12

A drag racer accelerated from 0 m/s to 200 m/s in 5 s. What was the acceleration?

Accepted Answer

40 m/s2

Answer

0 m/s

Answer

-40 m/s2

Answer

40 m/s

Question 13

A golf ball starts with a speed of 2 m/s and slows at a constant rate of 0.5 m/s², what is its velocity after 2 s?

Accepted Answer

1 m/s

Answer

0 m/s

Answer

0.5 m/s

Answer

1.5 m/s

Question 14

An airplane accelerates down a runway at 5.3 m/s² for 30.4s until it finally lifts off the ground. Determine the distance traveled before takeoff:

Accepted Answer

2449m

Answer

349m

Answer

2610m

Answer

80.6m

Question 15

A body starts with initial velocity of 10 ms^-1and acceleration 5 ms^-2. Find the distance covered in 5 sec

Accepted Answer

112.5

Answer

100

Answer

150

Answer

50

Question 16

If a car is traveling forward at 15 m/s, how fast will it be going in 1.2 seconds if the acceleration is -10 m/s/s?

Accepted Answer

3 m/s

Answer

27 m/s

Answer

-27 m/s

Answer

-3 m/s

Question 17

A car accelerates from a standstill to 70 m/s in 10 seconds. What is the acceleration?

Accepted Answer

7m/s2

Answer

0.7m/s2

Answer

14m/s2

Answer

none of the above

Question 18

Which of the following is the correct form of the first equation of motion?

Accepted Answer

$$v = u + at$$

Answer

$$s = ut + \frac{1}{2}at^2$$

Answer

$$v^2 = u^2 + 2as$$

Answer

$$s = vt - \frac{1}{2}at^2$$

Question 19

A car accelerates uniformly from rest at a rate of $$3 \, ext{m/s}^2$$ . What is its velocity after 4 seconds?

Accepted Answer

$$12 \, ext{m/s}$$

Answer

$$15 \, ext{m/s}$$

Answer

$$9 \, ext{m/s}$$

Answer

$$18 \, ext{m/s}$$

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