# How To Solve A Projectile Motion Problem F = ma = -mgsolve for aa = -g Now we have enough information to find the time.

F = ma = -mgsolve for aa = -g Now we have enough information to find the time.

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The horizontal and vertical velocities are expressed in meters per second (m/s).

Horizontal distance horizontal distance = (initial horizontal velocity)(time) x = v The velocity of the ball after 5.00 s has two components.

Therefore, the amount of time that the toy rocket spent in the air was 3.53 seconds.

An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second.

To find the magnitude of the velocity, the x and y components must be added with vector addition: v ∴v = 51.24 m/s The magnitude of the velocity is 51.24 m/s.

Though it was not asked for in the question, it is also possible to find the direction of the velocity as an angle.You can also its altitude and distance travelled if given a time. Projectile Motion Example Problem: A cannon is fired with muzzle velocity of 150 m/s at an angle of elevation = 45°. a) What is the maximum height the projectile reaches? The initial vertical velocity is v = 106.1 m/s Now we know the beginning and final velocity. The only force acting on the projectile is the force of gravity.Gravity has a magnitude of g and a direction in the negative y direction.The height of the object as a function of time can be modeled by the function h(t) = –16t vt h, where h(t) is the height of the object (in feet) t seconds after it is thrown.If we are given the initial velocity (or speed) of the object and the height of the building, we can use this model to determine how long it takes for the object to reach various heights.Once these two components are found, they must be combined using vector addition to find the final velocity.The ball was kicked horizontally, so v = -49.0 m/s In projectile motion problems, up is defined as the positive direction, so the y component has a magnitude of 49.0 m/s, in the down direction.In this case, there is only one positive answer which makes sense because the ball will only strike the ground once.Example 2 – A ball is thrown straight up from the top of a 288 foot tall building with an initial speed of 48 feet per second.Velocity is a vector (it has magnitude and direction), so the overall velocity of an object can be found with vector addition of the x and y components: v.The units to express the horizontal and vertical distances are meters (m).

## Comments How To Solve A Projectile Motion Problem

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