LowlyPion said:Welcome to PF.
The first thing to do is start over.
Thrown at 45 degrees means that vertical and horizontal speeds are the same.
So how long is it in the air? Vy/g is the time to go up ... so total time (up and down) is 2*Vy/g
And how fast is it going to go 60 m?
a = 60 = Vx*t = Vx*2*Vy/g
Since Vx = Vy then just solve.
odyssey4001 said:Ok cool, so is Vy cos 45 = 0.707? so then Vy = Vx = 0.707?
LowlyPion said:No.
.707 is merely the value of cos45 and sin45.
Your mission is to figure out what the initial velocity is.
To calculate velocity with an angle and distance, you can use the formula v = d/t, where v is velocity, d is distance, and t is time. However, if you have an angle, you will also need to use trigonometry to find the horizontal and vertical components of the velocity. You can use the equations vx = vcosθ and vy = vsinθ, where vx is the horizontal velocity, vy is the vertical velocity, and θ is the angle.
When using the formula v = d/t to find velocity, the units for velocity will be the same as the units for distance divided by the units for time. For example, if the distance is measured in meters and the time is measured in seconds, then the velocity will be in meters per second (m/s). When using trigonometry to find horizontal and vertical components of velocity, the units for velocity will be the same as the units for the original velocity, as the trigonometric functions do not change the units.
Yes, velocity can be negative when using the formula v = d/t to find velocity. Negative velocity indicates that the object is moving in the opposite direction of the positive direction defined in the problem. When using trigonometry to find horizontal and vertical components of velocity, the components can also be negative depending on the angle and direction of motion.
If you have the velocity and angle, but not the distance, you can still use the formula v = d/t to find the distance. Rearrange the formula to d = vt, where d is distance, v is velocity, and t is time. However, if you have an angle, you will also need to use trigonometry to find the horizontal and vertical components of the velocity, and then use the Pythagorean theorem to find the total distance.
This method can be used to find velocity in situations where the object is moving at a constant speed in a straight line. If the object is accelerating or moving in a curved path, more advanced equations and methods would need to be used. Additionally, this method assumes that the angle and distance are both accurate measurements, so in some cases, it may not be the most precise method.