An electric vehicle starts from rest and accelerates at a rate of 4 m/s2 in a straight line until it reaches a speed of 30m/s.The vehicle then slows at a constant rate of 2m/s2 until it stops. A)How much time elapses from start to stop? B) How far does the vehicle travel from start to stop?

The height of a helicopter above the ground is given by h = 3t^2+2.0t^4, where h is in meters and t is in seconds. At t=2.0s, the helicopter releases a small bag. a) Calculate the maximum height the bag reaches measured from the ground. b) How long after the bad is released, does it strike the ground? c) Calculate the speed of vag when it hits the ground.

You throw an object up with an initial velocity of voy=13 m/s from a height of y=25 m.  Part a) How long, in seconds, does it take for the object to reach the ground? Part b) What is the object's final velocity, in meters per second, as it impacts the ground? Part c) Find the time, in seconds, if you instead threw the object down with the same velocity, voy?

An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station?  How fast is the train moving, in meters per second, when its front leaves the station?  If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station?  What is the velocity of the end of the train as it leaves in m/s?

The car stops at the traffic light. It then moves along a straight path so that its distance from the light is given by x(t) =bt2−ct3, where b=2.40 m/s2 and c=0.120 m/s3.a) Determine the car’s instantaneous velocity at t = 5s and t = 10s.b) How long after starting from rest is the car again at rest

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 car, initially at rest, accelerates at a constant rate, 3.36 m/s2 for 32.6 seconds in a straight line. At this time, the car decelerates at a constant rate of -2.00 m/s2, eventually coming to rest. How much distance (in meters) did the car travel during the deceleration portion of the trip?

Problem 5: a) What is the final velocity of a train that starts with a velocity of 4 m/s then accelerates at 0.05 m/s² for 8 minutes? b) Once at this speed, how long will it take the train to decelerate to a stop if it can slow at a rate of 0.55 m/s² when braking? c) What distance does the train travel while it is braking to a stop?

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…

Ilya and Anya each can run at a speed of 7.60 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. a) Find Anya's average speed. b) How long does it take Ilya to cover the distance? (in minutes) c) Now find Ilya's average speed. Thanks