Question

5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20° with the ground. Write parametric equations to represent the path of the rock.

Answer 1

Answer:

x = 30t cos 20 or  x = 28.19t.

y = 30t sin 20 - 4.9t^2 + 2 or y =  -4.9t^2 + 10.26t + 2.

Step-by-step explanation:

The horizontal component of the velocity = 30 cos 20  m/s so the distance at time t seconds = 30t cos 20.

The vertical component  is obtained from the equation of motion

s = ut - 1/2* 9.8t^2 + 2

u = 30 sin 20

Vertical component  =  30t sin 20 - 4.9t^2 + 2.