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A LEVEL MATHS MECHANICS WORKSHEET, Exercises of Mathematics

Mathematics

PRACTICE QUESTIONS FOR A LEVEL MATHS

Typology: Exercises

2025/2026

Uploaded on 05/08/2026

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unknown user 🇬🇧

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bg1
Mechanics
recap
test
-
1)
The
acceleration
of
a
particle
is
given
by
:
a
=
2
(2
-
7t2)
.
It's
velocity
at
time
=
1
is
3mS'
,
and
it
begins
at
the
origin
.
i)
find
displacement
as
a
function
of
time
.
ii)
Find
the
times
when
V
=
0
.
2t/25-7t^3/75+c
2/25-7/75+c=3
pf3
pf4
pf5

Partial preview of the text

Download A LEVEL MATHS MECHANICS WORKSHEET and more Exercises Mathematics in PDF only on Docsity!

Mechanics recap test

  1. The^ acceleration^ of^ a particle is^ given by^ : a = 2 (^
  • 7t2). It's (^) velocity at^ time^ =^1 is^ 3mS'^ , and it^ begins

at the

origin

i) find^ displacement^ as a

function of^

time.

ii) Find^ the^ times^ when^ V=^0.

Es

to i) (^) find the displacement at t=^

ISs.

ii) (^) find (^) to such that the^ total displacement

is 0.

Vo

20m

T

Vl

  • (^) stand atop^ a (^) cliff , -^ and^ throw^ a^ ball^ up with initial (^) speed as^ drawn. i) write down^ an expression (^) for the^ displacement of the^

ball

from the origin .

ii) Find the time at whichthis ball reaches max height.

ii) at^ the same time^ , a ball^ is^ launched^ from

the

ground , with^ speed Vg find (^) Va such^ that^ his^ ball^ collides^ with^ the^ purple one at the^ max height ofRs^ purph ball^.

il (^) find the^ acceleration^ of

these masses^

. ii) (^) Find Re (^) tension in the rope . ↑

iii) 1 second^ after Re^ masses^ are^ released,

Key cross^ each (^) other. Hence (^) find d. M · /

  1. An electric^ car^ is^ hijacked such^ that^ the^ engineapplies a (^) constant driving force
of 10 , 000 N.

Realising his te (^) driver hits^ te^ breaks, only son (^) from a police blockade·^

What

force must

he car's breaks

apply

in order

that he^ car be

travelling

less ten^ 2ms"^ when^ it^ reaches

the blockade-