A car accelerates uniformly from rest to 24 m/s [S] in 18 sec. What is the car's acceleration?

An unwary football player collides with a padded goalpost while running at a velocity of 7.7 m/s and comes to a full stop after compressing the padding and his body 0.36 m. a) What is his acceleration? Careful with the sign! b) How long does the collision last?

A ball is dropped from a window 50 m above the ground. a) How long does it take the ball to reach theground?b) What is its final velocity?2. A pebble was dropped from the window of a building, 80 meters above the ground. a) How many seconds willit take the pebble to reach the ground? b) How fast is it after 2.0 seconds? c) When will its velocity be 25 m/s?3. A stone is tossed upward at the moment a ball is dropped from a height of 25 meters. The stone’s initialvelocity is 25 m/s. At what height will the two meet? In how many seconds.4. A ball is thrown downward with an initial velocity of 20 ft/s. a) How fast is it moving 2s later? b) How fardoes it fall in these time ?

A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average velocity in in the northern direction vavg,N, in this period in meters per second?  2.  If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?

2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time

Explain why we only consider one dimensional motion when using a single motion sensor. Based on the definition of velocity, describe what you should observe in the velocity vs. time graph if you were measuring a stationary, distant object and you suddenly slid and object into the beam from the side [hint: think about the behavior of the position graph in this case.]

Can you please answer this question and show all the steps

I need the answer as soon as possible

Ramón and Juliet are separated for just a few moments while on a romantic vacation. When Ramón finally spots Juliet after what seems to be an eternity, she is running at him at a constant velocity of 3.0 m/s at a distance of 100 meters away. At that same instant Ramón accelerates at 2.0 m/s2 from a standing position towards Juliet. (Show all of your work in order to receive credit for your answer.) a) How long do Ramón and Juliet have to wait before embracing? (Be careful about your signs and you will need the quadratic equation here.) b) How far from Ramón's initial position do they embrace?