2.53 CALC The acceleration of a motorcycle is given by az(t) = At - Bt?, where...
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...
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.
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...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
vProblem: A possible model for a sprinter's velocity is given by Vx=a(1-e^(-bt))where t is in seconds, vx is in m/s, and the constants a and b are characteristic of the sprinter. Assume Sprinter A runs the 100-meter dash following this prescription with a = 11.81 m/s and b = 0.6887 s-1. a) Find an expression for Sprinter A’s acceleration as a function of time t. b) Find an expression for the distance traveled by Sprinter A as w.r.t. time t....
105. Calc Air drag is a significant problem in some situations. Suppose the acceleration of a falling object is given by the following equation a(v) = g ? betav^2 (down is positive) where beta is a positive constant. (a) By integrating, find the velocity of a falling object as a function of time. (b) Find the terminal velocity of an object that falls from rest starting at t = 0.
an objects velocity as a function of time is given by v(t)=bt-ct^3, where b and c are positive constants with appropriate units. if the object starts at x=0 at the time t=0, find expressions for a) the time when its again at x=0 and b) its acceleration at that time.
The velocity of a rocket in space is given by v(t) = A ln(1 + Bt) where A and B are e positive constants. What are the appropriate SI units for A and B? Find the equations for position and acceleration assuming the rocket starts at x = 0. Draw a sketch of v vs t, a vs t, and x vs t.
Constants Part A The acceleration of a bus is given by a, (t) where α . 1.13 m/' is a constant. at If the bus's velocity at time ti -1.10 s is 4 92 m/s, what is its velocity at time to - 2.19 s? m/s Submit Incorrect Try Again: 4 attempts remaining ▼ Part B If the bus's position at time t s? 1.10 s is 6 10 m, what is its position at time ta 2.19 Submit Request...
A flywheel has angular acceleration az(t) = 8.65 rad/s2 - (2.35 rad/s2 )t , where counterclockwise rotation is positive. If the flywheel is at rest at t = 0, what is its angular velocity at 5.25 s? Express your answer with the appropriate units. Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to 5.25 s? Express your answer with the appropriate units.