a rocket is fired vertically upwards from ground level with an intial velocity of v0 ft/sec. assuming the rocket obeys Galileo;s law of motion due to gravity, determine the initial velocity required in order for the rocket to attain a height of 1 mile?
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a rocket is fired vertically upwards from ground level with an intial velocity of v0 ft/sec. assuming the rocket obeys Galileo;s law of motion due to gravity, determine the initial velocity required in order for the rocket to attain a height of 1 mile?
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- An object is thrown off the top of a 42 m tall building with a velocity of 475 m/s at an angle of 10.4° with respect to the horizontal. (a) How long is the object in the air in seconds? (b) What is the maximum height the object reaches above the ground in meters? c) What is the horizontal distance the object covers in meters?т A cannon sits on a horizontal plain, angled up at 35°. A cannonball is fired with a velocity of 100“. The cannonball hits the ground at the same height from which it was launched. a) What is the maximum height of the cannonball? (Answer: 168 m ) b) What is the flight time of the cannonball? (Answer: 11.7 s) c) What is the horizontal range of the cannonball? (Answer: 959 m) d) What is the impact velocity in magnitude and angle? (Answer: 100@35° below x-axis)On a planet very similar to Earth, but slightly denser, where acceleration due to gravity is 10 m/s2, a projectile is fire vertically from a height of 100 meters with an initial velocity of 40 m/s. Its position above the ground after t seconds is given by h(t) = 100 + 40t − 5t2 meters. Find the maximum height the projectile attains.
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- 0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t = 0. (a) Make a table listing the projectile's distance |r| from the ori- gin at the end of each second thereafter, for 0 s I S 10 s. Tabulating the x and y coordinates and the compo- nents of velocity v and v will also be useful. (b) Notice that the projectile's distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the veloc- ity. Suggestion: Argue that if v is not perpendicular to f, then r|must be increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) ExplainAt the equator, the radius of the Earth is approximately 6370 km. A plane flies at a very low altitude at a constant speed of v = 278 m/s. Upon landing, the plane can produce an average deceleration of a = 21 m/s2. What is the numeric value for the minimum landing distance, d (in meters), this plane needs to come to rest? Assume that when the plane touches the ground it is moving at the same speed as it was when it was flying.A bomber flies horizontally with a speed of 347 m/s relative to the ground. The altitude of the bomber is 2900 m and the terrain is level. Neglect the effects of air resistance. The acceleration of gravity is 9.8 m/s2 . a) How far from the point vertically un- der the point of release does a bomb hit the ground? Answer in units of m. b) At what angle from the vertical at the point of release must the telescopic bomb sight be set so that the bomb hits the target seen in the sight at the time of release? Answer in units of ◦.
- 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).A basketball player standing under the hoop fires the ball straight up with an initial velocity of v0=4.5 m/s from 2.5 m above the ground. Part a) What is the maximum height, h(in meters), above the launch point the basketball will achieve? Part b) On his first attempt, the ball doesn't make it high enough to reach the hoop. If the hoop is at 3.5 m above the ground, what is the minimum velocity (in m/s) with which he mush launch his second attempt to reach the hoop?On a planet very similar to Earth, but slightly denser, where acceleration due to gravity is 10 m/s2, a projectile is fire vertically from a height of 100 meters with an initial velocity of 40 m/s. Its position above the ground after t seconds is given by h(t) = 100 + 40t − 5t2 meters.find the velocity of the projectile as it hits the ground