A rocket accelerates upward from rest, due to the first stage, with a constant acceleration of a1= 76 m/s^2 for t1= 47s. The first stage then detached and second stage fires, providing a constant acceleration of a2= 46 m/s^2 for the time interval t2= 109s. (A) Enter an expression for the rocket's speed, v1, at time t1 in terms of the variable provided. (B) Enter an expression for the rocket's speed, v2, at the end of the second period of acceleration, in terms of the variable provided in the problem statement. (C) Using your expression for speeds v1 and v2, calculate the total distance traveled, in meters by the rocket from launch until the end of the second piece of acceleration.

Q: A hot-air balloon is rising upward with a constant speed of 2.93 m/s. When the balloon is 2.03 m…

A: given  initial speed of compass (u)=-2.93 m/s height(s)=2.03 m Acceleration due to gravity (g)=9.8…

Q: A particle leaves the origin with initial velocity v0= 12i + 14j m/s, undergoing constant…

A:

Q: total distance traveled,

A:

Q: Two soccer players start from rest, 41 m apart. They run directly toward each other, both players…

A: Initial velocity of two soccer playersu1 = u2 = 0 m/sPlayers run directly towards each otherDistance…

Q: As the first human astronaut to land on a distant planet, you are standing on the edge of a small…

A: Given data:  Maximum height reached = 3.0 m Height of cliff = 10 m Acceleration (a) = -5.6 j m/s2…

Q: you wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the…

A: Given data:  Initial velocity (Vi) = 0 m/s Height (h) = 1.79 m Time (t) = 0.242 s Required:…

Q: bird is flying due east. Its distance from a tall building is given by x (t) = 29.0m + (12.9m/s)t −…

A:

Q: A particle moving in the x-y plane has a velocity at time t = 5.25 s given by (3.9i+ 6.0j) m/s, and…

A: Write the given values with the suitable variables. t1=5.25 su=3.9i+6j m/st2=5.34 sv=4.05i+6.13j m/s…

Q: Two soccer players start from rest, 41 m apart. They run directly toward each other, both players…

A:

Q: Two soccer players start from rest, 43 m apart. They run directly toward each other, both players…

A: According to the given data S=43m v a1=0.49m/s2 a2= 0.46m/s2 we need tot find (a) time before they…

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: A mountain climber stands at the top of a 57.3 m cliff hanging over a calm pool of water. The…

A:

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: velocity

A: Given: Acceleration of the object is given by the equation, A=(3t2+3t)i+(7t3+6)j At time = 0…

Q: Lisa in her Lamborghini accelerates at the rate of (2.201 - 2.20j) m/s², while Jill in her Jaguar…

A: Lisa accelerates her Lamborghini at a rate of , while Jill accelerates her Jaguar at .Let's solve…

Q: A model rocket is fired straight up from the top of a 50-m tall building. The rocket has only enough…

A: (a) The initial velocity of the rocket is, The height of the rocket above the ground after two…

Q: A spacecraft starts from rest, and makes a journey to a destination 109000 km from its starting…

A: Given, The spacecraft travels half of the journey at an acceleration of 7.56 m/s2       for first…

Q: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: de effects of gravity. After 5 seconds have passed, fuel will run out and no longer provide upward…

A: Solution:The maximum height reached in 5 seconds can be obtained by the given relation and using…

Q: A particle at rest leaves the origin with its velocity increasing with time according to v₁(t) =…

A: The initial velocity of the particle is v1t=3.3t m/s. After 5 s the velocity of the particle becomes…

Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…

A: (a) The magnitude of acceleration is given by,

Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…

A: ax = 5.10 m/s2ay = 7.30 m/s2vx = 3515 m/s vy = 4136 m/s

Q: A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases…

A:

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x…

A: Write a given values of this question. v0x=+1.4m/sax=+7.5m/s2v0y=+9.2m/say=-6.4m/s2t=0.50s

Q: The position of a particle moving in the xy –plane is given by ř(t) = (3t² – t³)î + (t*)ĵ + (– 6t)k.…

A:

Q: A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with…

A: The latter method is the easiest to find how long the swimmer’s feet were in air.

Q: A missile silo is used to launch test rockets vertically upward out of the silo, giving the rocket…

A:

Q: An astronaut on the Moon (g=1.62 m/s2) throws a rock from the ground level with a speed of 32.1 km/h…

A:

Q: An elevator is initially moving upward at a speed of 13 m/s. The elevator experiences a constant…

A: Initial upwards speed of elevator (vo) = 13 m/sMagnitude of constant downwards acceleration = 3.5…

Q: Suppose you are standing at the edge of a 200 meter tall cliff and are in the habit of dropping…

A: The arrangement can be shown as below:

Q: ello. I am working on a problem with motion. The questions asks me to calculate the maximum height…

A: Given;-  A person is throwing a ball upward into the air with an initial speed Vo = 10m/s. the…

Projectile Motion