As soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant acceleration 9.00 mi/h/s. In the adjoining bicycle lane, a cyclist speeds up from rest to 20.0 mi/h with constant acceleration of 13.00 mi/h/s. Each vehicle maintains constant velocity after reaching a cruising speed. For what time interval is the bicycle ahead of the car?

a soldier fires an anti-tank missile at a stationary tank 4850 meters distant. The missile is fired with an initial speed of 28.5 m/s and accelerates with a constant acceleration of 18.6 m/s^2 for 6.42 s. The missile then continues on with a constant speed until it hits its target.  What is the total time that it took the missile to hit the target from the moment it was launched?

A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 7.0 m/s2m/s2. Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 11.0 ss, Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off, and ignore the effects of air resistance.   What is the maximum height above ground reached by the helicopter?   Powers deploys a jet pack strapped on his back 7.0 ss after leaving the helicopter, and then he has a constant downward acceleration with magnitude 3.0 m/s2m/s2. How far is Powers above the ground when the helicopter crashes into the ground?

A person is driving along a straight highway at a speed of 21.0 m/s when the traffic light which is 43.0 m ahead turns yellow. Because of his reaction time, there's a delay of 0.10s before the man steps on the brakes. The car then slows with a deacceleration of 4.00 m/s^2. By how much distance does the driver miss the traffic light line?

A man drives a car at v1= 54mi/h and suddenly notices a truck at a distance d= 13.5 m in front of him. That truck is moving in the same direction at a constant velocity v2= 34 mi/h. In order to not collide the person in the car must reduce their speed to v2 in a time interval, by slamming the brakes. the driver can give the car a maximum acceleration of ax. assume the acceleration is constant and the motion is in the positive direction. so that ax<0.  1) if the driver just barely avoids collision what is the final distance between the car and the truck? 2) write  an expression for the distance Δx2 traveled by the truck in the time Δt, in terms of the quantities defined in the problem. 3) write an expression for the distance Δx1 traveled by the car in the time Δt, assuming the driver brakes as hard as they can.  4)Relate the total distance the car travels Δx1 to the distance the truck travels and the initial distance between them.  5)Find the acceleration of the car in terms of its…

A train is initially travelling along a straight track at a steady speed of 30 m s¯¹. At time t = 0.00 s a signal ahead turns red. It takes the driver 0.60 s to react and apply the brakes. Once the brakes are hit, the train decelerates with a constant acceleration of magnitude 9.0 m s2 until it comes to rest. What is the total distance travelled by the train in the period between the signal turning to red and the train coming to rest? Give your answer by entering a number (correct to an appropriate number of significant figures) in the empty box below. Total distance travelled = m.

A model rocket is launched straight upward with an initial speed of 40.0 m/s. It accelerates with a constant upward acceleration of 1.50 m/s2 until its engines stop at an altitude of 180 m.  what is the max height reached by rocket? how long after liftoff does the rocket reach its max-height? how long is the rocket in the air?

A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.55 m/s2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 = 5 s until it comes to a stop. How far, in meters, from the original location of the limb will the car be when it stops?

A blue car travels down a straight road at a constant speed of 19.1 m/s. As they pass a red car, initially stopped on the side of the road, the red car speeds up at a rate of 2.02 m/s2. How much distance (in m) does the red car travel before it overtakes the blue car?