physics
The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude. (In other words, the range is the distance between the launch point and the impact point on flat ground.) A projectile is launched at t = 0 with initial speed vi at an angle θ above the horizontal. The range is
R =
vi2sin2θ
g
Use the expression to find the followings.
1. The maximum range of a projectile with launch speed vi.
a)vi^2/2g
b)vi^2/4g
c)4vi^2/g
d)2vi^2/g
e)vi^2/g
(b) The launch angle θ at which the maximum range occurs.

sin of anything is maximum when anything is 90 degrees or pi/2 radians. That maximum is 1.
Then
R = Vi^2/g times one
and 2 theta = 90 so theta = 45 degreesposted by Damon

U2 Sin 2a
= g
=34.66mposted by Daniel

U2 Sin 2a
= g
=34.66mposted by Gentle
Respond to this Question
Similar Questions

Physics
The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude. (In other words, the range is the distance between the launch point and the impact 
physics question
In a projectile motion, the horizontal range and the maximum height attained by the projectile are equal . A) what is the launch angle? B) If everything else slays the same , how should the launch angle, ¦È0, of a projectile be 
Physics
For a given initial projectile speed, you observe that the projectile has a certain range R at a launch angle A = 30 degrees. For what other launch angle will the projectile have the same range (assuming the same initial 
physics
A projectile is launched from and returns to ground level, as the figure shows. There is no air resistance. The horizontal range of the projectile is measured to be R= 166 m, and the horizontal component of the launch velocity is 
Science Physics
Projectile motion problem. The maximum range for a projectile is achieved when the projectile is fired at 45 degrees. This is true if the launch starts and ends at the same altitude. What about if you fire at a target at a lower 
Physics
In the absence of air resistance, a projectile is launched from and returns to ground level. It follows a trajectory similar to that in the figure below and has a range of 15 m. Suppose the launch speed is doubled, and the 
Physics
In the absence of air resistance, a projectile is launched from and returns to ground level. It follows a trajectory similar to that shown in Figure 3.10 and has a range of 29 m. Suppose the launch speed is doubled, and the 
Physics
In the absence of air resistance, a projectile is launched from and returns to ground level. It follows a trajectory similar to that shown in Figure 3.10 and has a range of 24 m. Suppose the launch speed is doubled, and the 
physics
A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5 degree above the horizontal on a long flat firing range. Determine (a) The maximum height reached by the projectile, (b) The total time in the air, (c) 
Physics
I'm having trouble where to start with this question.. Any help would be helpful. A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the