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Kinematic in Linear motion f5 17 mei 2021

Total questions: 10

Worksheet time: 49mins

Name
Class
Date
1.

A particle moves in a straight line .Its displacement , s m , from a fixed point o, at time t seconds , is given by 
s= 25t - 5  t2t^2  .Find the displacement of the particle at the time , 3s.

a)

120m to the right

b)

30 m to the left

c)

30 m to the right

d)

120 m to the left

2.

A particle moves in a straight line .Its displacement , s m , from a fixed point o, at time t seconds , is given by 
s= t2t^2  -4t.when will the particle be at 5 m to the right?

a)

t=5

b)

t=1

c)

t= -5

d)

t= -1

3.

given that s= t2t^2  -8t +5.find the time when particle is at rest

a)

t =2

b)

t = 4

c)

t= 8

d)

t= 1

4.

given that s=3 t2t^2 -12t-4.Find the time interval during which the particle move in the positive direction?

a)

 t>2t>2  

b)

 t>4t>4  

c)

 t>3t>3  

d)

 t>1t>1  

5.

the velocity ,v m s1s^{-1}  of a particle moving along a stright line is given by     v = 4t-3 t2t^2 -2,where t seconds is the time after passing a fixed point o.Find the displacement of the particle from o after 2 seconds.

a)

s = - 3m

b)

s=  3m

c)

s= 4m

d)

s= - 4m

6.

 s= 13t332t2 + 2t +4s=\ \frac{1}{3}t^3-\frac{3}{2}t^2\ +\ 2t\ +4  

given that the above,find the values of t when the particle stop momentarily.

a)

t= 1, t=2

b)

t=2, t=4

c)

t=3,t=5

d)

t=7,t=2

7.

 v =t 42t2+ 8t +1v\ =t\ ^4-2t^2+\ 8t\ +1  

given the above,find the initial acceleration of the particle.

a)

 11ms211ms^{-2}  

b)

 17ms217ms^{-2}  

c)

 20ms220ms^{-2}  

d)

 23ms223ms^{-2}  

8.

A particle moves along a straight line.its acceleration,         a= 4t-3, where t seconds is time after passing through a fixed point o and its initial velocity is given as follows. the initial velocity is 5 ms1ms^{-1}  .Find velocity of particle after 2 seconds.

a)

 ms1ms^{-1}  

b)

 7 ms17\ ms^{-1}  

c)

13  ms1ms^{-1}  

d)

27  ms1ms^{-1}  

9.

the displacement,s is given by s=8t- 3t23t^2  ,moving from fixed point, o.calculate displacement when t= 2

a)

s = 3

b)

s= 4

c)

s=1

d)

s=2

10.

 s = 7t 3t2s\ =\ 7t\ -3t^2  

the displacement,s metres , of a particles from a fixed point,o , t seconds after passing o is given as above.calculate distance travelled by 4th second.

a)

14m

b)

20m

c)

6m

d)

2m