You travel 1000 m in 25 seconds, accelerating the whole time at a constant rate. What is the rate of acceleration? Initial velocity (vi) = 0 m/s.  Hint: Look at the kinematic equations!

While driving down the highway at 30m/s(which is about 72 mph) Bill Gambini spotsa police car, sirens flashing. At exactly 1:00 pm, when the police car is also travelingat 30m/s and is 100 meters behind Bill’s car, Bill floors the gas pedal, giving his caran acceleration of 2m/s 2. Bill keeps the pedal floored for 5 seconds. During this time,the police car continues moving at 30m/s, and the officer radios for backup. a) How fast is Bill’s car moving at the end of those 5 seconds? b) At the end of those 5 seconds, how much distance is between Bill’s car and the police car? c) At the end of those 5 seconds, Bill, encouraged by his passenger Stan, hits the brake.His car slows down at a constant rate of 1.5m/ s 2. At what time will Bill’s car cometo a complete halt? d) Make a rough (non-numerical) sketch of Bill’s position vs. time, starting from 1:00p.m. and ending when his car comes to rest.

My mutt dog who seems to be a mix of pug, schnauzer, and dachshund, Boomer, likes to eat worms. He spots a juicy one in the grass and takes off from our porch at 5.22 m/s. When he reaches the worm, 8.16 m from our porch, he determines it's not up to his dog standards and decides to let it live another day. How long did it take Boomer to reach the worm, to two decimal places?

You're driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front of you. Since it takes your brain and body a bit of time to react, you travel for another 0.5s at this speed before hitting the brakes. Your car's maximum braking acceleration has a magnitude of 10m/s2. How far do you travel between the instant you see the deer and the instant you come to a complete stop?

A van travels a distance d=28 m in the positive x-direction in a time of t=19.5 s. The van immediately brakes and comes to rest in t2=6 s.  What are the van's average velocity in the horizontal direction, in meters per second, during t1? What was the acceleration, in meters per second squared, during time interval t1, assuming the van started from rest and moved with a constant acceleration? What was the van's instanteous velocity in the horizontal direction, in meters per second, when it began braking?  Using the result from part (c), what was the van's horizontal component of acceleration, in meters persocod squared, during the braking period?

From the above plot of velocity versus time, calculate the final position x att = 100 s if the initial position at t = 0 s is x0 = -25.0m? Justify your answer. What is the object’s acceleration at t = 10 s, t = 40 s, and t = 85 s? Justify your answers.

Hello. I am working on a problem with motion. The questions asks me to calculate the maximum height (h1),  total time (t2), and speed of a ball right before it hits the ground. The question states that A person is throwing a ball upward into the air with an initial speed Vo = 10m/s. Assume that the instant when the ball is released, the person's hand is at a height ho = 1.5m. The speed of the ball at its peak height is zero, and the question needs to be solved in ascending part and descending part. I don't understand how to solve for the maximum height. What is the correct formula to use and why? For other questions like this, I will be able to solve them if I know the formulas for the ascending of the ball and the descent of the ball as well as the explanation. Thank you. For the sake of the question, the ball is being thrown straight up.

Assume that you are driving a car at 10.0 km/h and then you accelerate to 80.0 km/h with an acceleration of 3.50 m/s². How much time will it take until you reach the velocity 80.0 km/h? (Provide you answer in s with two decimal places.) Your Answer:

Ahmed and Khalid are having a 100m race from start to finish.  Ahmed gives Khalid a 25m head start (he waits until Khalid is 25m away before starting) .Khalid  travels at a constant velocity of  5 m/s. Assuming that Ahmed accelerates uniformly from rest at  0.75 m/s2, does he pass Khalid before the finish line? If so, where?  If not, how much longer does Khalid take to finish? (explain your reasoning)

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?