Free Printable Equations of Motion

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?

a)

18

b)

78

c)

42

d)

102

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 $t=3$ ?

a)

Left

b)

Right

c)

Up

d)

Non f the above.

3.

A particle moves along the $x-$ axis . The function $x(t)$ gives the particle's position at any time $t≥0$ , $x(t)=2t^2-3t+5$ . What is the particle's acceleration $a(t)$ at $t=1$ ?

a)

1 $ms^{-2}$

b)

2 $ms^{-2}$

c)

3 $ms^{-2}$

d)

4 $ms^{-2}$

4.

A large stone is falling through a layer of mud. At time t
t seconds, the depth of the stone in metres below the surface is given by: $x\left(t\right)\ =\ 20\ \left(1-e^{\frac{-t}{2}}\right)$ . What is $\frac{\text{d}v}{\text{d}t}$ ?

a)

$5\ e^{\frac{-t}{2}}$

b)

$-20\ e^{\frac{-t}{2}}$

c)

$10\ e^{\frac{-t}{2}}$

d)

$-5e^{\frac{-t}{2}}$

5.

Given that the velocity $v\left(t\right)$ of the particle is given by $v\left(t\right)=\sin\ \left(\frac{\pi t}{2}\right).\$ If initially the particle has a no displacement. What is the position of the particle at time t=1?

a)

0

b)

$\frac{\pi}{2}$

c)

$-\frac{\pi}{4}$

d)

$\frac{\pi}{3}$

6.

Acceleration is defined as

(a)

7.

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

a)

Displacement is constant.

b)

Velocity is Constant.

c)

Acceleration is constant.

d)

Time is constant.

8.

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

a)

Velocity-time graph

b)

Acceleration-time graph

c)

Displacement-Time graph

d)

None of the above

9.

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

a)

$3.33\ \ ms^{-1}$

b)

$6.67\ ms^{-1}$

c)

$5\ ms^{-1}$

d)

$100\ \ ms^{-1}$

10.

Write all the terms used in the equations of motion (Separate all of them by commas and finally by "and". Use one word for each stated term).

(a)

Equations of Motion

Total questions: 10

Worksheet time: 30mins

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