Question

Please answer the question 83 ,84,85,86​

Answer 1

Answer:

86.

Vx=t

Vy=x

Vx=dx/dt=t

dx=tdt

Integrate on both sides

x = t^2/2 +c

At t=0 x=0

C=o

X=t^2/2 ....eq1

t=(2x)^1/2 ......eq2

Vy= x

dy/dt= x=t^2/2

dy =t^2/2×dt

Integrate on both sides

Y= t^3/6+c

At t=0 y=0

C=0

Y= t^3/6

(6y)^1/3 =t .....eq3

Eq2= eq3

(2x)1/2=(6y)^1/3

2x^3 -9y^2=0

✌✌✌✌

85.

a=x^3-3x

dv/dt=x^3-3x

dv/dx×dx/dt=x^3-3x

Vdv=(x^3-3x)dx

Integrate

With limits

For v=0 to v

For x=1 to 3

V^2/2=( 3^4-1^4)/4 - 3/2(3^2- 1^2)

V= 4m/s

84.

Sy=h=1/2gt^2

T= (2h/g)^1/2

Sx= vt

=v(2h/g)^1/2

=3×(2×2/10)^1/2

=1.897

=1.9m

Answer 2

Answer:

1.9m is answer dear friend