11th
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Professional Development

Mathematics, Physics, Science

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HERBERT MUJUNGU

4 years

Mathematics, Physics, Science

11th -

Professional Development

Equations of Motion

HERBERT MUJUNGU

55
plays

10 questions

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1. Multiple Choice
3 minutes
1 pt
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?
18
78
42
102
2. Multiple Choice
3 minutes
1 pt
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 $t=3$ ?
Left
Right
Up
Non f the above.
3. Multiple Choice
3 minutes
1 pt
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 $t=1$ ?
1 $ms^{-2}$
2 $ms^{-2}$
3 $ms^{-2}$
4 $ms^{-2}$
4. Multiple Choice
3 minutes
1 pt
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 $\frac{\text{d}v}{\text{d}t}$ ?
$5\ e^{\frac{-t}{2}}$
$-20\ e^{\frac{-t}{2}}$
$10\ e^{\frac{-t}{2}}$
$-5e^{\frac{-t}{2}}$
5. Multiple Choice
3 minutes
1 pt
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?
0
$\frac{\pi}{2}$
$-\frac{\pi}{4}$
$\frac{\pi}{3}$
6. Fill in the Blank
3 minutes
1 pt
Acceleration is defined as
7. Multiple Choice
3 minutes
1 pt
The following is the assumption taken when deriving Newton's equation of Motion.
Displacement is constant.
Velocity is Constant.
Acceleration is constant.
Time is constant.
8. Multiple Choice
3 minutes
1 pt
The distance taken by the particle at a constant acceleration is the same as the area under;
Velocity-time graph
Acceleration-time graph
Displacement-Time graph
None of the above
9. Multiple Choice
3 minutes
1 pt
The velocity-time graph of a DES II student moving along a straight line is given below. Find his average velocity.
$3.33\ \ ms^{-1}$
$6.67\ ms^{-1}$
$5\ ms^{-1}$
$100\ \ ms^{-1}$
10. Fill in the Blank
3 minutes
1 pt
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).
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Equations of Motion

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