SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Calculus, 2ADV C1 EQ-Bank 8

The displacement metres from the origin at time, seconds, of a particle travelling in a straight line is given by

  1. Find the time(s) when the particle is at the origin.  (2 marks)
  2. On the graph below, sketch the displacement, metres, with respect to time .  (2 marks)

       
     

  3. Find the acceleration of the particle when  .  (2 marks)

Show Answers Only

a. 

b.
       
 

c.   

Show Worked Solution

a.   
   
   

 

 
b.
       
 

c.   

Calculus, 2ADV C1 2008 HSC 6b

The graph shows the velocity of a particle,    metres per second, as a function of time,    seconds.

  1. What is the initial velocity of the particle?   (1 mark)

  2. When is the velocity of the particle equal to zero?    (1 mark)

  3. When is the acceleration of the particle equal to zero?    (1 mark)

Show Answers Only
Show Worked Solution

i.    


 

ii.    

 

iii. 

Calculus, 2ADV C1 2014 HSC 9 MC

The graph shows the displacement    of a particle moving along a straight line as a function of time  .

2014 9 mc

 Which statement describes the motion of the particle at the point  ? 

  1. The velocity is negative and the acceleration is positive.
  2. The velocity is negative and the acceleration is negative.
  3. The velocity is positive and the acceleration is positive.
  4. The velocity is positive and the acceleration is negative.
Show Answers Only

Show Worked Solution