A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its motion, the vertical accelerationof the rocket is given by ay = 12.80 m/s32t, where the+y-direction is upward. What is the height of the rocket above the surface of the earth at t = 10.0 s?

A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its motion, the vertical accelerationof the rocket is given by ay = 12.80 m/s32t, where the+y-direction is upward. What is the height of the rocket above the surface of the earth at t = 10.0 s?

Related questions

Q: A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3…

A: To find the acceleration vector

Q: 6. A projectile is shot from the edge of a cliff 170 m above ground with an initial speed of 70.0…

Q: The y-coordinate of a particle in curvilinear motion is given by y = 11.3+³ - 11.7t, where y is in…

Q: A rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104 m/s. The…

A: Given, A rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104…

Q: A particle r = (2t3 + 3t) i + (4 - 5t2) j - t4 k given time-dependent position It moves with the…

A: Solution: As given that r = (2t3 + 3t) i + (4 - 5t2) j - t4 k

Q: The y-coordinate of a particle in curvilinear motion is given by y = 11.3+³ - 11.7t, where y is in…

A: Given, y=11.3t3-11.7t inax=12.6t in/s2v0x=3.9 in/s

Q: A stone is thrown horizontally from the highest point of a 95 m building and lands 115 m from the…

Q: particle initially is moving at a velocity with Cartesian components (5.0 m/s, 4.0 m/s) and 5.6 s…

A: Given u̅ =( 5î +4 ĵ ) v̅ = 8 î t = 5.6 s

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

Q: A soccer ball is kicked from the ground with an initial speed of 18.6 m/s at an upward angle of…

Q: A у -plane a velocity given by 2.4 m/s, B = 1.6 m/s³ and y = 4.0 m/s². The positive y -direction is…

A: Solution:

Q: The acceleration of a particle moving only on a horizontal xy plane is given by d = 6tî + 7tj, where…

A: The given values are, a→=6ti^+7tj^ m/s2r→=15.0i^+35.0j^ mv→=6.40i^+3.30j^ m/st=5.60 s

Q: During a fireworks display, a shell is shot into the air with an initial speed of 91.55 m/s at an…

A: Given:Initial velocity of shell = 91.55 m/sProjectile angle = θHorizontal distance from initial…

Q: A speedboat moves on a lake with initial velocity vector vLx = 9.01 m/s and v1y average acceleration…

A: Given Data Initial velocity vectors are given as v1,x=9.01 m/s and v1,y=-2.49 m/s Acceleration…

Q: A small rock is thrown from the roof of a building. The initial velocity of the rock has magnitude…

Q: - An amplifier has input and output impedances of 75 ohms, 60 dB power gain anc a noise equivalent…

A: Given: Input and output impedance of an amplifier, R=75 Ω Noise equivalent bandwidth, B=15 KHz…

Q: The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k}m/s, where t is in seconds. If…

Q: A ball is thrown horizontally from a 16 mm -high building with a speed of 6.0 m/sm/s . How far from…

Q: A ball is thrown horizontally from the top of a 65 m building and lands 125 m from the base of the…

Q: An astronaut on a distant planet kicks a soccer ball at an angle of 45.1 degrees above horizontal,…

A: According to the u=11.5m/s θ=45.1 ° ay=2.87m/s We need to find Range Sy=uyt+12ayt2

Q: A fighter jet takes off from the horizontal deck of an aircraft carrier. Starting from rest, it…

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

Q: A human archer atop a castle wall shoots an arrow at a velocity of 65 m/s at an angle of 36.9…

A: Launch velocity (u) = 65 msLaunch angle (θ) = 36.9o above the horizontal Time of flight (t) = 5.82…

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: Physics 5. A football is punted into the air. It has an initial vertical velocity of 15 m/s when it…

A: Given , A football punted into air.( Air resistance is negligible) Initial velocity (u)= 15 m/s

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: An object is descending toward the Planet X's surface (disregard air resistance). Its height is…

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

A: Given: The function for vertical acceleration for first 10 sec ay = (12.8 m/s3)2t.

Q: A rock is thrown off a cliff at an angle of 44 with respect to the horizontal. The cliff is 126 m…

Q: A long jumper leaves the ground with an initial velocity of 18 m/s at an angle of 38o above the…

A: Given data: Initial velocity jumper is, u=18 m/s. Angle of projection is, θ=38∘.

Q: A particle travels along the circular path 2. x² + y² = r².If the y component of the particle's…

Q: Use this information to identify a suitable scaling parameter to predict the velocity at hub height.…

A: The power law exponent was found by using two of the given values to solve for k, and then plugging…

Q: 8.9. A quarterback throws a pass initially at a height of h= 1.8m above the ground. A wide receiver…

A: Given: Time taken to catch the pass = t = 3 sec Acceleration of receiver = a = 4 m/s2 Initial…

Q: 2.70 You are on the roof of COAS, 46.0 m above the ground. Your physics professor, who is 1.80 m…

A: CONCEPT: Given, height of the roof y=46 m height of the professor y0=1.80 m So, distance required to…

Q: A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown…

Q: A rocket starts at rest on a launchpad. At t = 0 the rocket has a constant acceleration of a= 25…

Q: The acceleration vector of a particle is giving by a = -27 t2 j m/s4. The particle is located at…

Q: A particle moves along in three-dimensional motion with position vector given x (t) = 3.20 t m i +…

A: The physical quantities are of two types- scalar and vector quantities. The scalar quantities are…

Q: A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to…

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

A: Given Data : The Height of the ball is given as s = 1.36m. The time is taken by the ball to hit the…

Q: A soccer ball is kicked from the ground with an initial speed of 19.9 m/s at an upward angle of…

A: Given data: The speed of ball is u=19.9 m/s. The upward angle is θ=48°. The distance of ball is…

Q: The vertical displacement (in m) of a plane is 1.5 t2 up; t is the time (in s) after takeoff. The…

A: Given, the vertical displacement (in m) of a plane is y=1.5 t2 up; t is the time (in s) after…

Q: A soccer ball is punted from the ground at an angle theta = 42 degrees with respect to the…

Question

A rocket starts from rest and moves upward from the
surface of the earth. For the first 10.0 s of its motion, the vertical acceleration
of the rocket is given by ay = 12.80 m/s32t, where the
+y-direction is upward. What is the height of the rocket above the
surface of the earth at t = 10.0 s?

Expert Solution