car was traveling at 33.0 m/s on a poorly lit country road.  The driver started to brake 0.35 seconds after he sees that a bridge is under construction 75 meters ahead.  The car slowed down uniformly.  What must be the minimum acceleration be to avoid crashing into the construction?

Q: A cop car, at a constant speed of 110 km/h, is overtaken by a race car. Precisely 1.2 s after the…

A: Given data The constant speed of the cop car is u = 110 km/h. The time duration when it passes is…

Q: A student sees her physical science professor approaching on the sidewalk that runs by her dorm. She…

A: The professor is 2.0s being directly under her window

Q: A block falls from rest off a building that is y = 123 m tall. At what time in seconds does the…

A: The acceleration on the block is due to acceleration due to gravity g = 9.8 m/s2. So from equation…

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 209 m/s to the east.…

A:

Q: Timnit has to pull the weeds in her mother's garden. She notices a caterpillar crawling along the…

A: Given quantities: The speed of the caterpillar (V) = 0.125 m/s Time taken to travel (t) = 8 seconds…

Q: A subway train starts from rest at a station and accelerates at a rate of 2.50 m/s? for 15.90…

A:

Q: A commuter backs her car out of her garage with a constant acceleration of 1.9 m/s2. Assume that her…

A: According to the Newton's laws of motion , the final velocity of an object is calculated by using…

Q: A car travels at 30.0 m/s and sees a truck 100.0 m ahead of it that is traveling at 20.0 m/s. The…

A:

Q: A rocket-powered sled moves along the track, eventually reaching a top speed of 230 m/s to the west.…

A: Given:-             Speed u =  230 m/s.    Final speed v = 0 m/s         Time taken t = 4.42 s…

Q: The problem states, "A truck on a straight road starts from rest, accelerating at 2.00 m/s2 until it…

A: Given data:  Initial velocity (V0) = 0 m/s Acceleration (a1) = 2.00 m/s2 Velocity (V1) = 20.0 m/s…

Q: I am driving at 35 mph on a foggy day when I see a car 5 miles ahead of me stopped in the road with…

A: Given  Maxximum decelaration of car is 12 mph/s = 43200 mile/h² Distance of car initialy = 5 miles.…

Q: While driving down a straight road at 70.5 km/h, you pass your physics professor who happens to be…

A:

Q: A cop spots a speeder on the freeway going 45.0 m/s. It takes the cop 2.9 seconds to get their car…

A: Given data The speed of the speeder is, u=45.0 m/s The time to start the car is t1= 2.9 s The…

Q: While traveling at 89.52 km/h, a driver drops her cell phone on the floor of the car.  She reaches…

A:

Q: Your piece of a masterpiece, Honda Civic is doing well on 680. Especially, when Sheriff's car just…

A: Solution: Given: 1 mph = 0.44704 m/s 1 ft = 0.3048 m v = speed of car = 62 mph = (62 x 0.44704) m/s…

Q: A car speeds down the main road at 160 km/h. It passes a police car parked on the side of the road.…

A: Please see the attached images for the solution.If there are queries or if the images are not…

Q: A ranger in a national park is driving at 22.0 mi/h when a deer jumps into the road 180 ft ahead of…

A: The initial velocity of a ranger is, u=22 mi/hr=9.835 m/s The final velocity of a ranger is, v=0 m/s…

Q: An ambulance driver is rushing a patient to the hospital. While traveling at 72 km/h, she notices…

A: Initial speed, u = 72 km/h = (72×5)/18 m/s = 20 m/sDistance, s = 52 mTime, t = 2.17 sAcceleration, a…

Q: While driving south on hwy 400, Jim gets stuck travelling at 1.9 m/s behind a slow truck. He finally…

A:

Q: A car moving at 41.66 mph approaches an intersection and the driver observes the light go yellow.…

A: I have changed mph into meter per second to make it easy

Q: The driver of a car is initially moving at a constant speed of 70.4 km/h when a traffic light turns…

A: Initial speed of the car is V = 70.4 km/h  Reaction time is t = 0.520 s

Q: You are driving through town at 12.0 m/s when suddenly a ball rolls out in front of you. You apply…

A: initial velocity, u = 12 m/s  final  velocity, v = 0 m/s acceleration, a =  - 3.5 m/s2

Q: A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating…

A: Given u=18m/s (initial velocity of car) t1=0.380 s (time for driver to hit the brakes) Distance…

Q: A car is coasting backwards down hill at a speed of 3.0m/s when the driver gets the engine started.…

A: Average acceleration

Q: A speeder, travelling at 35 m/s, passes a stationary police car. The police car immediately…

A: Simple problem of kinematics. Please have a good look

Q: A truck tractor pulls two trailers, one behind the other, at a constant speed of 100 km/h. It takes…

A:

Q: Two cars are travelling at constant speeds. A Neon is travelling at 14.85 m/s and a Corvette is…

A: Given:Neon Car is travelling with speed =14.85m/sCorvette Car is travelling with speed=…

Q: You are driving your car downtown from the beach, but you realize that you need to stop for food.…

A: Considering north direction to be upwards, west will be to the left of northSo, initially the person…

Q: 10. An express train passes through a station. It enters with an initial velocity of 22.0 m/s and…

A: Given data The initial velocity of the train is given as u = 22 m/s. The acceleration of the train…

Q: The driver of a truck slams on the brakes when he sees a tree blocking the road. The truck slows…

A: Given that, x=66.4 macceleration=-5.85 m/s2time=4.20 s Consider the kinematic equation, x=ut+12at2…

Q: Mikail is sailing a boat in the local lake. Starting from rest near the shore, he accelerates…

A: Given data The acceleration of the boat is a = 0.3101 m/s2. The time taken by the boat is t = 22 s.…

Q: A UCI student is running at her top speed of 5.1 m/s to catch a Shuttle bus, which is stopped at the…

A: Given:Speed of the student = 5.1 m/sAcceleration of the bus = 0.163 m/s2Distance between the…

Q: A child on a bicycle approaches a stop sign and applies the brakes to slow to a stop. If the…

A:

Q: A SWAT car is in pursuit of a stolen pickup truck. At one instant, the car has a speed of 34 m/s and…

A: Given data:  Speed of car (V1) = 34 m/s Initial distance between car and truck (d) = 164 m Speed of…

Q: As a science project, you drop a watermelon off the top of the Empire State Building, 320m above the…

A: Given:  Height of building, H = 320 m Speed of superman, V = 33.0 m/s     To Find:  The velocity…

Q: The contraction of the left ventricle of the heart lasts for 250 ms and the blood speed after…

A: Given - The contraction time of the left ventricle of the heart ( ∆T )=250 ms=250×10-3 s The rate…

Q: A locomotive is accelerating at 3.55 m/s2. It passes through a 22.3-m-wide crossing in a time of…

A: So, the time required to reach the speed of 33.m/s , at t = 9.189 sec

Q: You’re driving at 55.0 km/h when you spot a moose in the road ahead. If your car is capable of…

A:

Q: A student is running at her top speed of5.0 m/s to catch a bus, which is stopped at the bus stop.…

A: Given: The speed of the student is 5.0 m/s. The distance for the student and bus is 40.0 m. The…

Q: A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees…

A: Initially, speed of the car was, u = 30 m/s. The driver took t1 = 0.75 s to apply the brake Distance…

Q: A VW Beetle goes from 0 to 48.0 mi/h with an acceleration of +2.35 m/s². (a) How much time does it…

A:

Q: A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant…

A: Given, velocity v=38 m/s time t=20 s

Q: A car traveling with an initial velocity of 26.75 m/s to the east, sees a wall 68.12 meters to its…

A:

Q: A Boeing 757 takes off at 2/3 of a runway which is 1800.0 m long. Assume it starts from rest and…

A:

Q: A UCI student is running at her top speed of 5.1 m/s to catch a Shuttle bus, which is stopped at the…

A: Let us say that the student overtakes the bus after ‘t’ seconds.Now the distance travelled by the…

Q: t the instant the traffic light goes green, a car waiting at the intersection starts ahead with an…

A: Consider t be the time when the bus passes the car. So, the distance traveled by the car can be…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –