Question

an object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9 degress above the horizontal. make a table showing vaules of x, y, vx,vy and the speed of v every 1 s from t = 0s to t = 6s

Answer 1

As we know that initial speed of projection is given as

`v_i = 50 m/s`

angle of projection is given as

`\theta = 36.9 degree`

now we have

`v_(ix) = 50 cos36.9 = 40 m/s`

`v_(iy) = 50 sin36.9 = 30 m/s`

now we will have

`a_x = 0 m/s^2`

`a_y = -10.0 m/s^2`

so here at all time instant speed in x direction remains the same

`v_x = 40 m/s`

while in y direction we will have

`v_y = v_(iy) + at`

`v_y = 30 - 10 t`

now between t = 0 to t = 6 s we have

`v_y = 30 m/s, v_y = 20 m/s, v_y = 10 m/s, v_y = 0 m/s, v_y = -10 m/s, v_y = -20 m/s, v_y = -30 m/s`

now we have

`x = v_x t`

`x = 40 t`

now between t = 0 to t = 6 s we have

`x = 0, x = 40 m, x = 80 m, x = 120 m, x = 160 m, x = 200 m, x=240 m`

Now for y component we have

`y = v_(iy) t + (1)/(2)at^2`

`y = 30(t) - 5 t^2`

`y = 0 m, y = 25 m, y = 40 m, y = 45 m, y = 40 m, y = 25 m, y = 0`