Free Printable KINEMATICS OF LINEAR MOTION QUIZ 2

1.

A rocket was launched vertically upward from the surface of the field with its velocity, v ms^–1, is given by v = 20 – 10t after t seconds from the surface of the field. The rocket stops momentarily at p seconds. (a) Find the value of p

a)

p = 2

b)

p = 3

c)

p = 4

d)

p = 5

2.

A rocket was launched vertically upward from the surface of the field with its velocity, v ms^–1, is given by v = 20 – 10t after t seconds from the surface of the field. The rocket stops momentarily at p seconds.

(b) Express in terms of t, the displacement, s metre, of the rocket at t seconds.

a)

$s=\ 20-10t$

b)

$s=20-10t^2$

c)

$s=20t-5t^2$

d)

$s=\ 20t-10t^2$

3.

A rocket was launched vertically upward from the surface of the field with its velocity, v ms^–1, is given by v = 20 – 10t after t seconds from the surface of the field. The rocket stops momentarily at p seconds.

(c) Determine (i) the maximum height, in metre, of the rocket.

a)

5 m

b)

10 m

c)

15 m

d)

20 m

4.

A rocket was launched vertically upward from the surface of the field with its velocity, v ms^–1, is given by v = 20 – 10t after t seconds from the surface of the field. The rocket stops momentarily at p seconds.

(c) Determine
(ii) the time, in seconds, when the rocket touches the surface of the field.

a)

3s

b)

4s

c)

5s

d)

6s

5.

A particle moves along a straight line and passes through a fixed point O. Its velocity of the particle, v ms^-1 , is given by v = 15 + 4t – 3t² , where t is the time, in s, after leaving O. Find a) the initial velocity, in ms^-1 , of the particle,

a)

5

b)

10

c)

15

d)

20

6.

A particle moves along a straight line and passes through a fixed point O. Its velocity of the particle, v ms^-1 , is given by v = 15 + 4t – 3t² , where t is the time, in s, after leaving O. Find

b) the initial acceleration, in ms^-2 , of the particle,

a)

3

b)

4

c)

6

d)

8

7.

A particle moves along a straight line and passes through a fixed point O. Its velocity of the particle, v ms^-1 , is given by v = 15 + 4t – 3t² , where t is the time, in s, after leaving O. Find

c) the maximum velocity, in ms^-1 , of the particle,

a)

$16\ \frac{1}{3}$

b)

$17\ \frac{2}{3}$

c)

18

d)

$19\ \frac{1}{4}$

8.

A particle moves along a straight line and passes through a fixed point O. Its velocity of the particle, v ms^-1 , is given by v = 15 + 4t – 3t² , where t is the time, in s, after leaving O. Find

d) the distance, in cm, from O when the particle stops instantaneously.

a)

30

b)

32

c)

34

d)

36

9.

A particle moves along a straight line and passes through a fixed point O. Its velocity, v ms^-1 , is given by v = pt ²+ qt, where p and q are constants and t is the time, in seconds, after passing through O. It is given that the particle stop instantaneously when t = 4 s and its acceleration is -2 ms^-2 when t = 1s. [ Assume motion to the right is positive ]

a) the value of p and of q,

a)

p = -1 ; q = 3

b)

p = -1 ; q = - 4

c)

p = 1 ; q = -4

d)

p = 1 ; q = 3

10.

A particle moves along a straight line and passes through a fixed point O. Its velocity, v ms^-1 , is given by v = pt ²+ qt, where p and q are constants and t is the time, in seconds, after passing through O. It is given that the particle stop instantaneously when t = 4 s and its acceleration is -2 ms^-2 when t = 1s. [ Assume motion to the right is positive ]

b) the range of values of t when the particle moves to the left,

a)

t > 0 or t > 4

b)

t > 4

c)

t < 0 or t >4

d)

0 < t < 4

11.

A particle moves along a straight line and passes through a fixed point O. Its velocity, v ms-1 , is given by v = $pt^2$ + qt, where p and q are constants and t is the time, in seconds, after passing through O. It is given that the particle stop instantaneously when t = 4 s and its acceleration is -2 $ms^{-2}$ when t = 1s.

[ Assume motion to the right is positive ]
c) the distance, in m, travelled by the particle during the fourth second.

a)

$1\ \frac{1}{2}$

b)

$1\frac{3}{4}$

c)

$1\ \frac{2}{3}$

d)

2

12.

A particle moves along a straight line and passes through a fixed point O. Its velocity v ms^-1 , is given by v = pt² – 6t , where p is a constant and t is the time, in seconds, after passing through O . The acceleration of the particle is 18 ms^-2 when t = 3s. Find

a) the value of p

a)

2

b)

4

c)

5

d)

6

13.

A particle moves along a straight line and passes through a fixed point O. Its velocity v ms^-1 , is given by v = pt² – 6t , where p is a constant and t is the time, in seconds, after passing through O . The acceleration of the particle is 18 ms^-2 when t = 3s. Find

b) the time interval, in seconds, when the velocity of the particle is decreasing.

a)

$t\ >0$

b)

$t<\frac{1}{2}$

c)

$t<\frac{3}{4}$

d)

$t>\frac{3}{2}$

14.

A particle moves along a straight line and passes through a fixed point O. Its velocity v ms^-1 , is given by v = pt² – 6t , where p is a constant and t is the time, in seconds, after passing through O . The acceleration of the particle is 18 ms^-2 when t = 3s. Find

c) the time, in seconds, when the particle stops instantaneously. ,

a)

$\frac{3}{4}$

b)

$\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$\frac{4}{3}$

15.

A particle moves along a straight line and passes through a fixed point O. Its velocity v ms^-1 , is given by v = pt² – 6t , where p is a constant and t is the time, in seconds, after passing through O . The acceleration of the particle is 18 ms^-2 when t = 3s. Find

d) the total distance, in m , travelled by the particle in the first 3 seconds.

a)

$\frac{33}{4}$

b)

$\frac{27}{2}$

c)

$\frac{29}{2}$

d)

$9$

KINEMATICS OF LINEAR MOTION QUIZ 2

Total questions: 15

Worksheet time: 30mins

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