The velocity of an object as a function of time is given by v(t) = b + ct - et2, where v and t are in SI units. The other variables are given as b = 4.1 m/s, c = 4.1 m/s2, and e = 1.5 m/s³. Determine the instantaneous acceleration of the object at time t = 0.38 s. m/s² Remember to include a "-" if the acceleration turns out to be negative. Do not include a "+" for a positive value. a = Report your numerical answer below, assuming three significant figures.

The velocity of an object as a function of time is given by v(t) = b + ct - et2, where v and t are in SI units. The other variables are given as b = 4.1 m/s, c = 4.1 m/s2, and e = 1.5 m/s³. Determine the instantaneous acceleration of the object at time t = 0.38 s. m/s² Remember to include a "-" if the acceleration turns out to be negative. Do not include a "+" for a positive value. a = Report your numerical answer below, assuming three significant figures.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration. If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.
At time t = 0 a particle starts moving along a line with equation of motion s(t) = t^3−4t^2+ 6, whereS is meters and t is in seconds.a) Give the velocity and acceleration functions.b) What is the velocity at time t = 2?c) When is the acceleration 2 m/s^2?
the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and b is 2.84 in m/s^2. find the instantaneous velocity in m/s of the particle from time t 5.93s. Express your answer rounded off to two decimal places. Do not include the unit.
The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.
Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial velocity of the object is v(0) = - 5 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters
The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i sec
Based on dimensional analysis the following equation is correct : 1. x = a t2 2. x = at + (1/2)a+3 3. x = a/t + at-2 4. x = (1/2) at 2 where x indicates length, a, the acceleration, and t, the time interval concerned.
1. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates versus time aregiven by the following expressions: x = (18 m/s)t and y = (4 m/s)t - (4.9 m/s2)t2. a)Write a vector expression for the ball’s position as a function of time, using the unitvectors i and j. Write expressions for b) the velocity vector as a function of time andc) the acceleration vector as a function of time. Now, write expressions for d) theposition, e) the velocity, and f) the acceleration of the ball, all at t = 3 s.
a particle moves in a straight line according to the law x= 2t^3 -12t^2 + 4. where x is in meters and t is in seconds. a) when t= 6 sec, compute the velocity and b) when the particle comes to rest again, what is its acceleration?
answer must be in SI and round off to the nearest hundredths Vehicles has accelerated from 2.0 m/s to 5.0 m/s in 1.5 s. a. Find the magnitude of its acceleration. b. calculate the distance traveled during the time of observation
An automobile traveling 95 km/hkm/h overtakes a 1.40 kmkm -long train traveling in the same direction on a track parallel to the road. A) If the train's speed is 75 km/hkm/h, how long does it take the car to pass it in minutes? Express your answer to two significant figures and include the appropriate units. B) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units. C) How long does it take the car to pass the train if the car and train are traveling in opposite directions in minutes? Express your answer to two significant figures and include the appropriate units. D) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units.