The acceleration of a motorcycle is given by ax(t)=At−Bt2, where A=1.50m/s3 and B=0.120m/s4. The motorcycle is at rest at the origin at time t=0
1-Find its velocity as a function of time. Letters A and B are not allowed in the answer.
Express your answer in terms of t
2-
Find its position as a function of time. Letters A and B are not allowed in the answer.
Express your answer in terms of t
3-Calculate the maximum velocity it attains. Letters A and B are not allowed in the answer.
The acceleration of a motorcycle is given by ax(t)=At−Bt2, where A=1.50m/s3 and B=0.120m/s4. The motorcycle is...
The acceleration of a motorcycle is given by ax(t)=At−Bt2, where A=1.50m/s3 and B=0.120m/s4. The motorcycle is at rest at the origin at time t=0. A. Find its velocity as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t. B. Find its position as a function of time. Letters A and B are not allowed in the answer. Express your answer in terms of t.
2.53 CALC The acceleration of a motorcycle is given by az(t) = At - Bt?, where A = 1.50 m/s and B = 0.120 m/s4. The motorcycle is at rest at the origin at time t = 0. (a) Find its position and velocity as functions of time (b) Calculate the maxi- mum velocity it attains.
The acceleration of a bus is given by ax(t)=αt, where α = 1.13 m/s3 is a constant. A.If the bus's velocity at time t1 = 1.14 s is 4.98 m/s , what is its velocity at time t2 = 2.04 s ? B.If the bus's position at time t1 = 1.14 s is 5.95 m , what is its position at time t2 = 2.04 s ?
The acceleration of a bus is given by ax(t)=αt, where α = 1.14 m/s3 is a constant. Part A If the bus's velocity at time t1 = 1.18 s is 4.92 m/s , what is its velocity at time t2 = 2.19 s ? v = m/s SubmitMy AnswersGive Up Part B If the bus's position at time t1 = 1.18 s is 6.06 m , what is its position at time t2 = 2.19 s ? x = m
The acceleration of a certain rocket is given by ax= bt, where b is a positive constant. (a) Find the position function x(t) if x = x0 and v0 at t = 0. (Use the following as necessary: x0, v0, b, and t.) x(t) = (b) Find the position and velocity at t = 7.9 s if x0 = 0, v0 = 0 and b = 3.3 m/s3. x(7.9 s) = m v(7.9 s) = m/s (c) Compute the average velocity of...
The acceleration of a particle is given by ax(t)=− 2.10 m/s2 +( 3.02 m/s3 )t. Find the initial velocity v0x such that the particle will have the same x-coordinate at time t= 3.98 s as it had at t=0. What will be the velocity at time t = 3.98 s?
Constants PartA The acceleration of a bus is given by a,(t) where 1.16 m/s3 is a constant. at, If the bus's velocity at time t1 -1.11 s is 5.07 m/s, what is its velocity at time t2 2.20s? 10.0474 m/s Submit Previous Answers Request Answer Incorrect; Try Again; 4 attempts remaining Part B If the buhposition at time ti # 1.11 SİS 6.00 m , what is its position at time t2 -2.20 s? Submit Request Answer Provide Feedback Next...
A) Using Newton's second law, write equations for ax and ay, where a⃗ =axi^+ayj^ is the acceleration of the particle. Express your answer in terms of the variables q, B, vx, vy, and m. Enter your answers separated by a comma. B) Differentiate the second of these equations with respect to time. Then substitute your expression for ax=dvx/dt to determine an equation for dv2y/dt2 in terms of vy. Express your answer in terms of the variables q, B, vy, and...
A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=αt2 and ay(t)=β−γt, where α = 2.50 m/s4, β = 9.00 m/s2, and γ = 1.40 m/s3. At t=0 the rocket is at the origin and has velocity v 0=v0xi^+v0yj^ with v0x = 1.00 m/s and v0y = 7.00 m/s. a. Calculate the velocity vector as a function of time. Express your answer in terms of v0x, v0y, β, γ, and...
Learning Goal: To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^. Part C Find the particle's velocity as a function of time. Express your answer using unit vectors (e.g., A i^+ B j^, where A and B are functions of ω, R, t, and π). Part D Find the speed of the particle at...