12–99. The missile at A takes off from rest and risesvertically to B, where its fuel runs out in 8 s. If theacceleration varies with time as shown, determinethe missile's height hɛ and speed vg. If by internal controlsthe missile is then suddenly pointed 45° as shown, andallowed to travel in free flight, determine the maximumheight attained, hc, and the range R to where it crashes at D.hchвa (m/s²)40t (s)

Given data: Time for fuel to run out , t = 8 s The slope of the graph gives the ratio of…

Answered: 12–99. The missile at A takes off from…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Show that the girl at A can throw the ball to the boy at B by launching it at equal angles measured up or down from a 45° inclination. If VA = 10 m/s, determine the range R if this value is 15°, i.e., θ1 = 45° -15° = 30° and θ2 = 45° + 15° = 60°. Assume the ball is caught at the same elevation from which it is thrown.
A projectile is fired with a speed of 1,000 ft/s at a height of 500 ft. Determine theelevation angle so that the maximum height is 2,500ft.
The water sprinkler, positioned at the base of the hill, releases a stream of water with a velocity of 25 ft/s at 50 degrees with respect tothe horizontal. Determine the point B(x,y) where the water strikes the ground on the hill. Assume that the hill is defined by the equation y = 0.09x^2feet and neglect the size of sprinkler.
the golf ball is hit at A with a speed of vA=40 m/s . and directed at an angle of 30 degree with the horizontal as shown. Determine the distance d where the ball strikes the slope at B.
If the end of the cable at A is pulled down with a speed of 23 m/s, determine the speed at which block B rises.
At any instant, the horizontalposition of the balloon isdefined by x = 12 ft, where t isin seconds. Determine theMAGNITUDE and DIRECTION of thevelocity and acceleration when t =2s and if the equation of thepath is y = x2/10.
The ball at A is kicked such that θA = 30. If it strikes the ground at B having coordinates x = 15 ft, y = -9ft, determine the speed at which it is kicked and the speed at which it strikes the ground.
If v= (9t^2 + 10) m/s, where t is in seconds, determine a when t = 2s
1.The car is traveling at 48 km/h when the traffic light 90mahead turns yellow. The driver takes one second to reactbefore he applies the brakes.(a) After he applies the brakes, what constant rate ofdeceleration will cause the car to come to a stop just asit reached the light?(b) How long does it take the car to travel the 90 m?
When the falling ball hits and deforms the foam arresting material, it has a velocity of v0. Theobject's acceleration is a=g−k1v−k2y, where v is the particle speed in inches per second, y is thepenetration depth in inches, and k1 and k2 are positive constants, while the resistance of thefoam material to deformation is a function of penetration depth y and object speed v. Plot theobject's penetration depth y and velocity v as functions of time for k1 = 14 sec−1, k2 = 28 sec−2,and v0 = 26 in./sec over the first five seconds. Calculate the time when the penetration depthhas reached 95% of its maximum value.
In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 12 ft/sec. If the shooting guard is to catch the ball at a height of 7 ft at C while in full stride to execute a layup, determine the speed v, and launch angle 6 with which the point guard should throw the ball. A Vo 7~ e 5/
The catapult is used to launch a ball such that it strikes the wall of the building at the maximum height of its trajectory. If it takes 1.5 s to travel from A to B, determine the velocity VA at which it was launched, the angle of release ), and the height h.

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