Physics
posted by Kayla .
A ball launched from ground level lands 2.7 s later on a level field 50 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal. (Ignore any effects due to air resistance.)
A. Find the magnitude m/s
B. Find the direction ° (above the horizontal)

For a projectile fired at an angle of µº to the horizontal with a velocity of Vm/s, the maximum height reached derives from h = V^2(sin^2(µ))/29 and the distance traveled parallel to the ground derives from d = V^2(sin(2µ))/g
1Vcos(µ) = 50/2.75 = 18.181818
2Vsin(µ) = 9.8(2.75) = 26.95
3Vsin(µ)/Vcos(µ) = 26.95/18.18 = 1.48239
4(µ) = arctan(1.48239) = 56º
5Therefore, the initial launch velocity is V = 18.1818/cos(56) = 32.51m/s in the direction of 56º above the horizontal.
I hope this has been of some help to you.
Respond to this Question
Similar Questions

Physics
A soccer player kicks a ball from the ground into the goal, which is located 17 meters away on the level playing field. The ball leaves the ground at an initial speed of 18m/s and at an initial angle above the horizontal of 23 degrees. … 
physics
A ball launched from ground level lands 2.15 s later on a level field 50 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal. (Ignore any effects due to air resistance.) 
physics
A ball launched from ground level lands 3 s later on a level field 48 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal. (Ignore any effects due to air resistance.) 
Physics
A ball thrown into the air lands on the same horizontal level, 31 m away, and 2.65 s later. Find the magnitude of the initial velocity. 
physics
A projectile is launched at an angle of 58.5 degrees above the horizontal and lands at the same level from which it was launched 3.88 seconds later. what is the magnitude of the initial velocity? 
johnny
A projectile is launched over level ground at a launch angle of 70o with an initial velocity vo. At some later time while the projectile is on its way to the peak in its trajectory, its velocity vector makes an angle of 50o with respect … 
physics
A projectile is launched over level ground at a launch angle of 70o with an initial velocity vo. At some later time while the projectile is on its way to the peak in its trajectory, its velocity vector makes an angle of 50o with respect … 
Physics
At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 53 m horizontally and h = 54 m vertically above the launch point. What are the (a) horizontal and (b) vertical components of the initial … 
Physics
A projectile is launched at ground level with an initial speed of 51.5 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.50 seconds later. What are the x and y distances from where the projectile … 
physics
A projectile is launched at ground level with an initial speed of 56.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.90 seconds later. What are the x and y distances from where the projectile …