Your friend wants to show off how quickly their car can accelerate. So you get in and they start driving. You notice that the pine tree scented air freshener that hangs from the rear view mirror makes an angle of 26.5 degrees with respect to the vertical (straight down) direction while the car is accelerating. Using this angle, you pull out your calculator and find the car's acceleration. The answer is:

The position of a dragonfly that is flying parallel to the ground is given as a function of time by 7 = [2.90 m + (0.0900 m/s²)t²] i – (0.0150 m/s³)t³ j. Part B At the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? Express your answer with the appropriate units. xa μÅ Xb a = 0.062 a b X.10n m Submit Previous Answers Request Answer ?

A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 2t² j+ 2tk. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. v(t) = m/s (b) Write an expression for its acceleration as a function of time. d(t) = m/s2 Submit Answer

After a constant acceleration of 3.52 m/s/s at 9.6 degrees above the +x-axis is applied by the motors of a boat for 7.05 seconds, the boat is moving at 96.8 m/s at 34 degrees above the +x-axis. What was the displacement of the boat during this time? What is the angle from the positive x-axis?

You are driving in a car with your friend, who is speeding around the corner of a highway. You are worried for your safety, so you ask your friend how fast they are going. Your friend responds, "I am going around this corner at a constant velocity of 65 mph." Is their statement physically correct? A) It might make sense, depending on extra information which is not being given in the problem? B) Yes, this statement is acceptable. C) No, the word "velocity" is being used incorrectly. D) No, cars always slow down as they go around corners.

A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided.  Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?

Solve the last part

An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation.   Thank you for your help.

Problem 5: A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation: x(t) = AP(1+B) %3D Part (a) Write an expression for the vehicle's instantaneous velocity as a function of time. Expression : v(t) = Select from the variables below to write your expression. Note that all variables may not be required. а, В, л, ө, А, В, d, g, h,j, k, m, Р, S, t Part (b) What is the initial velocity of the vehicle? Numeric : A numeric value is expected and not an expression. Vo = Part (c) What is the vehicle's velocity after accelerating for 10 seconds? The equation's parameters are as follows. A = 34 m/s B = 21 s Numeric : A numeric value is expected and not an expression. v(t) = Part (d) After accelerating, the velocity of the vehicle will begin to level off at highway speed. Write an expression for the vehicle's velocity after it has been accelerating for a long time. Expression : v(t=00) = Select from the variables…

You and your friend would like to experimentally determine a value for g, an object's acceleration due to gravity on Earth. Your friend sets a baseball on the edge of a desk, and you crouch down by the floor, waiting for the ball to drop. She pushes the ball off the desk and yells GO! to signal you to press START your phone's stopwatch app. When the ball hits the floor, you press STOP on the app to stop the timer, and see that the time reads t = 0.606 s. Using a tape measure with markings for cm, you measure the top of the desk to be h = 123 cm from the floor.  Part 1) Assuming the ball started with no initial vertical velocity, calculate the value of g in your experiment symbolically. Assume that g is a positive number.  Part 2) Using your previous symbolic answer and the qualities from the experiment, determine a numeric value for g.  Part 3) What is a reasonable quantitative estimate for your uncertainty in stopping the timer, sigma t? What about your error in measuring the height…