Children are playing with a remote-controlled toy jeep in an open horizontal field. At some time, the jeep is located (relative to a rock which they are using as the origin) at r0 = (10.5î − 3.50ĵ) m and has a velocity of v0 = (7.00î + 1.50ĵ) m/s. If, for a time interval Δt =10.0 s, the jeep experiences a constant acceleration a and acquires a new velocity v = (3.00î − 20.00ĵ) m/s, determine the following for the jeep. (Express your answer in vector form.) (a) position vector at time t = 10.0 s r(t = 10.0 s) = Incorrect: Your answer is incorrect. Can you write a general expression for the vector position of the jeep at any time? How can you obtain the acceleration from the given information? m (b) velocity vector time t = 5.00 s v(t = 5.00 s) = Correct: Your answer is correct. m/s
Children are playing with a remote-controlled toy jeep in an open horizontal field. At some time,...
A child operates a remote controlled toy car on a linear track. The figure below plots the car's position as a function of time. x (m) Find the velocity of the toy car at the following times. Indicate the direction with the sign of your answer. (a) t 1.4 s: 1.4 Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each segment is...
i already tried poaitive 65.2 A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v = [5.00 m/s - (0.0180 m/s^3)t^2]i + [2.00 m/s + (0.550 m/s^2)t]j. What is the direction (in degrees counterclockwise from +x-axis) of the acceleration of the car at t = 7.05 s ? Express your answer to three significant figures and include the appropriate units.
first picture has the information you need to do the other parts A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by ū– (5.00 m/s – (0.0180 m/s”){%)+ [2.00 m/s + (0.550 m/s?)t)ì. Part C What is the magnitude of the velocity of the car at t = 6.73 s? Express your answer to three significant figures and include the app ? v= Value Units Submit Request...
You have a remote-controlled car that has been programmed to have velocity v⃗ =(−3ti^+2t2j^)m/sv→=(−3ti^+2t2j^)m/s, where tt is in ss. At tt = 0 ss, the car is at r⃗ 0=(3.0i^+2.0j^)mr→0=(3.0i^+2.0j^)m.a) What is the xx component of the car's position vector at 2.0 ss?b) What is the yy component of the car's position vector at 2.0 ss?c)What is the xx component of the car's acceleration vector at
A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by υ⃗ =[5.00m/s−(0.0180m/s3)t^2]i^ + [2.00m/s+(0.550m/s^2)t]j^. What is the direction (in degrees counterclockwise from +x-axis) of the acceleration of the car at t = 7.48 s ? Express your answer to three significant figures and include the appropriate units.
4. Two toy remote-controlled cars start from the same position, O, at time t-0. One car, C ,travels north at 4 m/s, while the other, C2, travels west at 2 m/s. (a) After two seconds, compute the rate of change of the distance between Ci and Cz. Draw a diagram to help you answer this question and the next and clearly state the units. Simplify your answer as much as possible. (7 pts.) (b) After two seconds find the rate...
Two children are playing a game where they run towards each other and see who can reach a toy that is somewhere between them. In the beginning, Charlie is 23.7 m away from the toy, running towards it at a speed of 0.770 m/s, and is speeding up. At the same time, Amy is 12.5 m away from the toy, is running towards it in the opposite direction as Charlie at a speed of 2.70 m/s, and is slowing down....
help!!! A remotely controlled toy car travels along a straight line and its position changes with time following the law: X(t) = 20 - 3t + 5t" where the coefficients have such dimensions that the position X(t) is measured in meters, 12. What is the dimension of the coefficient, which has the numeric value of 5? 13. What is the initial position of the toy car at t-0s? 14. What is the initial velocity of the car at t-os? 15....
A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by υ⃗ =[5.00m/s−(0.0180m/s3)t2]i^ + [2.00m/s+(0.550m/s2)t]j^ a> What is ax(t) the x-component of the acceleration of the car as function of time? ax(t)=(−0.0180m/s3)t ax(t)=(0.0360m/s3)t ax(t)=(−0.0360m/s3)t b> What is ay(t) the y-component of the acceleration of the car as function of time? ay(t)=2.00m/s2 ay(t)=0.550m/s2 ay(t)=(−0.550m/s2)t c> What is the magnitude of the velocity of the car at t = 6.59...
A crate is moving along the x-axis and its position varies in time according to the expression x = (5.00 m/s2)t2, where x is in meters and t is in seconds. (a) Determine its position (in m) at t = 2.20 s. m (b) Determine its position (in m) at t = (2.20 s) + Δt. (Use the following as necessary: Δt. Do not include units in your answer.)xf = m (c) Evaluate the limit of Δx Δt as Δt...