Question

An object is launched with an initial velocity of 50.0 m /s at a launch angle of 36.9 degree above the horizontal. Determine x-values at each 1 s from t = 0 s to t = 6 s Express your answer using three significant figures. Give your answer in the time increasing order, separate them with commas. Determine y-values at each 1 s from t = 0 s to t = 6 s Express your answers using one decimal place. Give your answer in the time increasing order, separate them with commas.

Answer 1

Sol 26,T 36.9 2 976m ) 4S 76m 2) 40.44 m (3)20 m

Answer 2

SOLUTION :

Part A 

Horizontal component of velocity

= 50 cos(36.9)

= 39.9842 m/s

So,

x-value at time t = 39.9842 t meters.

So, 

X-VALUES TABLE :

t            x-values (meters)

0                   0

1                 39.984

2                 79.968

3                119.953

4                159.937

5                199.921

6                239.905

So , x -values =  { 0, 39.984, 79.968, 119.953, 159.937, 199.921, 239.905 } (ANSWER).

Part B 

Vertical component of velocity

= 50 sin(36.9)

= 30.021 m/s

So,

y-value at time t = u t - 0.5 g t^2  (meters)

So, 

Y-VALUES TABLE :

t            y-values (meters)

0                   0

1                 25.121

2                 40.442

3                 45.963

4                 41.684

5                 27.605

6                  3.726

So , y -values =  { 0, 25.121, 40.442, 45.963, 41.684, 27.605, 3.726 } (ANSWER)