A body of mass 5 kg is acted on by a net force of magnitude newtons. This force causes the body to move so that its velocity,  , along a straight line of motion is given by  , where metres is the position of the body at time seconds.

When  is equal to

1. 10
2. 14
3. 35
4. 70
5. 175

A particle of mass 3 kg is acted on by a variable force, so that its velocity m/s when the particle is m from the origin is given by   .

The force acting on the particle when  , in newtons, is

A.     4

B.   12

C.   16

D.   36

E.   48

A constant force of magnitude    newtons accelerates a particle of mass 2 kg in a straight line from rest to 12 ms over a distance of 16 m.

It follows that

1. = 4.5
2. = 9.0
3. = 12.0
4. = 18.0
5. = 19.6

A particle of mass 2 kg moves in a straight line with an initial velocity of 20 m/s. A constant force opposing the direction of the motion acts on the particle so that after 4 seconds its velocity is 2 m/s.

The magnitude of the force, in newtons, is

A.     4.5

B.     6

C.     9

D.   18

E.   36

A variable force of    newtons acts on a 3 kg mass so that it moves in a straight line. At time    seconds,  , its velocity    metres per second and position    metres from the origin are given by  .

It follows that

A.  

B.   

C.   

D.   

E.   

A 3 kg mass has velocity  , where    when it has a displacement metres from the origin,  .

Find the net force, newtons, acting on the mass in terms of .  (3 marks)

A constant force of magnitude newtons accelerates a particle of mass 8 kg in a straight line from a speed of 4 ms¯¹ to a speed of 20 ms¯¹ over a distance of 15 m.

The magnitude of is

A.       9.8

B.     12.5

C.     12.8

D.   100

E.   102.4