A projectile is fired from 3 meters height above level ground with an initial velocity equals to 20 m/s and at an angle equals to 30 degrees above the horizontal level. Note that the air resistance is neglected. the position of a particle with respect to time is defined by: r(t) = rcos(cot )i +rsin(cot)j , where 7 and c are constants. Demonstrate that the magnitude of the acceleration of the particle is constant.

A projectile is fired from 3 meters height above level ground with an initial velocity equals to 20 m/s and at an angle equals to 30 degrees above the horizontal level. Note that the air resistance is neglected. the position of a particle with respect to time is defined by: r(t) = rcos(cot )i +rsin(cot)j , where 7 and c are constants. Demonstrate that the magnitude of the acceleration of the particle is constant.

Similar questions

A projectile is shot on level ground with ahorizontal velocity of 17 m/s and a verticalvelocity of 39 m/s. Find the time the projectile is in the air.The acceleration due to gravity is 9.8 m/s. Answer in units of s. Find the range R.Answer in units of m. Let the magnitude of v0 be the same as in part1, but consider the angle θ required to obtainthe maximum range.Find the height attained for the maximumrange.Answer in units of m.
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. á(t) = (2t, 4 sin(t), cos(3t)) v(0) = ( – 3, – 5, – 4) - r(0) = (1, 2, 0) 7 (t) =
Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79. What is the range of the projectile (i.e., how far does it travel? Round your answers to two decimal places).
This problem will involve deriving a formula or two for a projectile launched from one height and angle and landing at a different height on Earth. Begin with a projectile launched at angle 0 above horizontal from a height y₁ with initial velocity Vo. The projectile lands at a point with height y₂. These are the given quantities: vo, 0, y₁, y2 and g. Construct formulae for each of the following, as. a function of given quantities the horizontal distance traveled. the maximum height reached. the time taken. the angle of impact. (find the final velocity components first).
I need the answer as soon as possible
Your answer is partially correct. A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v= 24 m/s when the altitude of the helicopter is h = 46 m, determine the values of i, ř.0, and as measured by the tracking device at 0. At this instant, 0 = 38°, and the distance d = 172 m. Neglect the small height of the tracking device above the ground. Answers: 1.17 m/s m/s? -4.624 9 = rad/s 0.2785 0.1163 rad/s?
A particle is moving on xy plane, with x=15sin(2t), and y = 20cos(2t) Find the magnitude of the velocity as a function of time
A football is thrown with an intial velocity of 16.9 m/s at 23.9 degrees above (x). When the football is at the highest point above the ground what is the velocity? Air resistance doesn't have an effect.
PLEASE ANSWER QUICKLT AND WILL RATE HIGHLY *15
A criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.1m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The e horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0m below the jumping-off point. Find the maximum value for D.