Working with formulas > Equations
1234Equations

Solutions to the exercises

Exercise 1
a

t = 37.5

b

t = ± 37.5

c

x = 396

d

x = 2

e

a = ± 396

f

v = 0.03

g

x = -2 x = 8

Exercise 2
a

x = 4

b

x = 1 x 1.35

Exercise 3
a

h = 381 - 4.9 t 2

b

t 8.8 s

c

v 86.4 m/s 311.1 km/h.

Exercise 4
a

p = 0 gives q = -216 2 3
q = 0 gives p = 325

b

q = 0 gives W = 0
W = 0 gives q = 0 q = 200

c

l = 0 gives k = ± ( 96 )
k = 0 gives l = 8 l = -12

d

d = 0 gives a = 19
a = 0 gives d = ± 5700

e

x = 0 gives y = ± 18
y = 0 gives x = ± 8

f

x = 0 gives y = ± ( 5 )
y = 0 gives x = ± 3

Exercise 5

Solving 0.5 x 2 = ( x - 4 ) ( x - 8 ) gives x 20.94 m.
The area is approximately 438.5 m2.

Exercise 6
a

V = 200 π ( 1.5 + 0.5 a ) 2 - 450 π

b

Y1=200π(1.5+0.5a)^2-450π with 0 x 1000 and 0 y 160000000

c

Approximately 23 dips.

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