A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by = [5.00 m/s - (0.0180 m/s³)t²]i + [2.00 m/s + (0.550 m/s²)t]j

An object moves in along the x-axis with an acceleration given by: a = 9t (m/s2). The position of the object at t=0.0 is 5 m, and its velocity at t=0.0 s is 7 m/s. Calculate the position at t=8 s.

What is E and F?? Please help!

The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The plane releases a package 2.0 s after takeoff. What is the magnitude of the velocity (in m/s) when the packaged is released? Report your answer in the appropriate number of significant digits. Answer value

A snowboarder on a slope starts from rest and reaches a speed of 2.4 m/s after 7.1 s. (a) What is the magnitude (in m/s2) of the snowboarder's average acceleration? in m/s2 (b) How far (in m) does the snowboarder travel in this time? in m

A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2 j + 5t k. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. V = m/s (b) Write an expression for its acceleration as a function of time. a = m/s?

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. Figure U₁(m/s) 2.0 1.5 1.0 0.5 1(s) 0 10 20 30 40 50 1 of 1 (Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to answer the following questions. Part A What is the initial velocity of the particle, vo? Express your answer in meters per second. ▸ View Available Hint(s) V₁ =…

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the acceleration when the ball is moving downward is ad=-g+kv², where k is a positive constant and v is the speed in meters per second. If the ball is thrown upward with an initial speed of 40 m/s, determine the time tu from ground to apex and the time to from apex to ground. Take k to be 0.006 m¹ and assume that g is constant. au=-g-kv² Answers: tu = td = i i 40 m/s ad=-g+kv² S S h

A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 - 20t, for 0≤t≤ 10. a. How far does the cyclist travel in the first 3 min? b. How far does the cyclist travel in the first 10 min? c. How far has the cyclist traveled when his velocity is 350 m/min?

You are driving along the highway at a steady speed of 90 km/h when another car decides to pass you. At the moment when the front of his car is exactly even with the front of your car, and you turn your head to smile at him, do the two cars have equal velocities? Draw a position graph to describe the motion of two cars.