Answer:
d) None of the above
Explanation:
= inituial velocity of launch = 4 m/s
θ = angle of launch = 10 deg
Consider the motion along the vertical direction
= initial velocity along vertical direction = 4 Sin10 = 0.695
m/s
= acceleration along the vertical direction = - 9.8 m/s²
y = vertical displacement = - 20 m
t = time of travel
using the equation
![y=v_{oy} t+(0.5)a_{y} t^{2}](https://tex.z-dn.net/?f=y%3Dv_%7Boy%7D%20t%2B%280.5%29a_%7By%7D%20t%5E%7B2%7D)
- 20 = (0.695) t + (0.5) (- 9.8) t²
t = 2.1 sec
consider the motion along the horizontal direction
x = horizontal displacement
= initial velocity along horizontal direction = 4 Cos10 = 3.94 m/s
= acceleration along the horizontal direction = 0 m/s²
t = time of travel = 2.1 s
Using the kinematics equation
![x =v_{ox} t+(0.5)a_{x} t^{2}](https://tex.z-dn.net/?f=x%20%3Dv_%7Box%7D%20t%2B%280.5%29a_%7Bx%7D%20t%5E%7B2%7D)
x = (3.94) (2.1) + (0.5) (0) (2.1)²
x = 8.3 m
Consider the motion along the vertical direction
= initial velocity along vertical direction = 4 Sin10 = 0.695
m/s
= acceleration along the vertical direction = - 9.8 m/s²
=initial vertical position at the time of launch = 20 m
= vertical position at the maximum height = 20 m
= final velocity along vertical direction at highest point = 0 m/s
using the equation
![{v_{fy}}^{2}= {v_{oy}}^{2} + 2 a_{y}(y - y_{o})](https://tex.z-dn.net/?f=%7Bv_%7Bfy%7D%7D%5E%7B2%7D%3D%20%7Bv_%7Boy%7D%7D%5E%7B2%7D%20%2B%202%20a_%7By%7D%28y%20-%20y_%7Bo%7D%29)
![0^{2}= 0.695^{2} + 2 (- 9.8)(y - 20)](https://tex.z-dn.net/?f=0%5E%7B2%7D%3D%200.695%5E%7B2%7D%20%2B%202%20%28-%209.8%29%28y%20-%2020%29)
= 20.02 m
h = height above the starting height
h =
- ![y_{o}](https://tex.z-dn.net/?f=y_%7Bo%7D)
h = 20.02 - 20
h = 0.02 m