(Two-Dimensional Motion) A missile is launched from a fighter jet cruising horizontally at a speed of 280 m/s, at an altitude of 1800 m. The initial velocity of the missile relative to the fighter jet is 160 m/s, in the forward direction. The missile is powered by its own engine, which provides it with a constant, horizontal acceleration of a = g/3 (g = 9.80 m/s²). The vertical motion of the missile, however, is a free fall (as we neglect the effect of air friction). (a) What is the initial velocity of the missile relative to the ground? (b) How long does it take for the missile to reach the ground? (c) If the missile hits a target on the ground, how far ahead of the plane horizontally was the target when the missile was launched. (d) What is the speed of the missile just before hitting the target? (e) What angle does the velocity of the missile make with the ground just before it hits the target?

Q: At time t = 0 s, a puck is sliding on a horizontal table with a velocity 3.60 m/s, 35.0° above the…

A: Imagine a puck is initially sliding diagonally across a table. It's being slowed down by forces…

Q: A physics book slides off a horizontal tabletop with a speed of 1.1 m/s. It strikes the floor in…

A:

Q: A particle initially located at the origin has an acceleration of å = 2.1î m/s? and an initial…

A: According to the kinematic equations of motion: v→f = v→i + a→t where, v→f is the velocity at time…

Q: swimming in a horizontal plane has velocity v- (4.00 i + 1.00 j) m/s at a point in the ocean where…

A:

Q: A space vehicle is coasting at a constant velocity of 15.4 m/s in the +y direction relative to a…

A: Given that:- Initial Velocity=15.4m/s along + y axis

Q: An emergency medical package is dropped at point A by a small airplane flying horizontally with a…

A:

Q: 8. At t = 0, a ball moving in two-dimensions with constant acceleration has a velocity of vi = (3.00…

A: (a) The acceleration of the ball in component form is, a→=∆v→∆t=v2→-v1→t2-t1=9.00i^+7.00j^…

Q: space vehicle is coasting at a constant velocity of 23.7 m/s in the +y direction relative to a space…

A:

Q: A satellite in outer space is moving at a constant velocity of 21.2 m/s in the +y direction when one…

A: Given data: Velocity in y-direction, Vy=21.2 m/s Acceleration, a=0.360 m/s2 Time, t=40 s

Q: On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x…

A: Given: Timing of fire the engine (t) = 567 s. Acceleration of engine in direction x (ax) = 4.8 m/s2.…

Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

A:

Q: An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j.…

A: Write the expression of the position vector, differentiate the expression with respect to time, and…

Q: On a spacecraft, two engines are turned on for 841 s at a moment when the velocity of the craft has…

A:

Q: The velocity of a particle moving in the x-y plane is given by (7.15i +4.12j) m/s at time t = 5.37…

A: We are given velocity of particle. We are also given average acceleration. We hence find the final…

Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 5.80i m. By time t =…

A:

Q: On a spacecraft, two engines are turned on for 832 s at a moment when the velocity of the craft has…

A: Given The time up to which the engine turned on is t=832 s. The x component of velocity is v0x =…

Q: A space vehicle is coasting at a constant velocity of 15.4 m/s in the +y direction relative to a…

A: Given that:- A space vehicle has acceleration of 0.255m/s^2 along +ve x axis

Q: Write the position function of the baseball y(t). Assume the ball is at position y=0 and t=0.…

A:

Q: Francisco kicks a soccer ball with speed 35.8 m/s at an angle of 30.0 degrees above the horizontal.…

A: Given data: Initial velocity (v0) = 35.8 m/s Angle (θ) = 30.0°, above the horizontal Required: The…

Q: A spacecraft is traveling with a velocity of v0x = 5010 m/s along the +x direction. Two engines are…

A: Given data: The x-component of the initial velocity of the spacecraft, v0x=5010 m/s. The time…

Q: Irina, standing on the edge of a cliff, throws a stone at a 40-degree angle above the horizontal…

A: The angle at which stone is thrown upward = 40o The angle at which stone is thrown downward = - 40o…

Q: 1. In this problem we ignore air resistance. When a glass slides off a horizontal countertop with a…

A: Given, Speed, v=2.10m/s Time, t=0.5s Horizontal acceleration will be zero. Vertical acceleration,…

Q: 30⁰ 20m P X- je

A:

Q: A satellite in outer space is moving at a constant velocity of 21.2 m/s in the ty direction when one…

A:

Q: A space vehicle is coasting at a constant velocity of 24.4 m/s in the +y direction relative to a…

A:

Q: A fish swimming in a horizontal plane has velocity v = ((4.00)î + (1.00)f)m/s at a point in the…

A:

Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…

A:

Q: The position of a bird in the xy-plane is given by f = (4.0m-xt?)i+ Btj where x= 2.5 m/s2 and B = 5…

A: Position of a bird in the x-y plane is given by :r→ = (4 m - αt2)i^ + βt j^ where α = 2.5 ms2β = 5…

Q: A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its…

A: Given data ay=2.8 m/s3 tt=10 sec

Projectile Motion