You are driving down the road at 34.2 meters per second when you suddenly see a fallen tree blocking the road 59.8 meters in front of you. You decelerate at a steady pace when you press the brake pedal. What acceleration is required for you to halt 8.7 meters in front of the tree?

Q: You are driving down the road at 34.2 meters per second when you suddenly see a fallen tree blocking…

A: Solution:-Given thatInitial speed (u)=34.2 m/sdistance of the tree from vehicle (x)=59.8 mStopping…

Q: You decide to drop a water balloon on a friend as a prank. You climb onto an overpass near their…

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Q: A driver is initially traveling 21.1m/s to the right and then slams on the brakes to accelerate at a…

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Q: A hot air balloon is traveling vertically downward at a constant speed of 5.8 m/s. When it is 17.8 m…

A: The initial velocity of the package is same as the velocity of the air balloon. Kinematic expression…

Q: You are driving down the road at 34.2 meters per second when you suddenly see a fallen tree blocking…

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Q: An object is initially at rest and accelerates at a rate of 3.50 m/s2 in the positive x-direction.…

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Q: A speeder travelling at a constant velocity of 40 m/s passes by a police car that is initially at…

A: Given:  The  velocity of the speeder is v = 40 m/s  The police car is initially on the rest.  The…

Q: cheetah spots a gazelle 60.0 m away.  The cheetah accelerates at 7.5 m/s2 toward the gazelle.  The…

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Q: An object is initially at rest and accelerates at a rate of 3.50 m/s² in the positive x-direction.…

A: The time required by the object to move 50 m from the initial position is 5.34 s

Q: mits. His acceleration is a constant 4.0. At time t=0 he is 5.0 m east of the signpost, moving east…

A: Given thatConstant acceleration (a)=4.0 m/s2At t=0 , motorcyclist is 5 m eastwith velocity (u)=15…

Q: While standing on a bridge 16.8 m above the ground, you drop a stone from rest. When the stone has…

A: height of the bridge (h) = 16.8 m distance fallen by the first stone = 3.30 m

Q: Amir starts riding his bike up a 200-m-long slope at a speed of 18 km/h, decelerating at 0.20 m/s2…

A: Given: Length of slope (l) = 200.0 m. Speed of Amir (va) = 18 km/hr = 5 m/s. Speed of Becky (vb) =…

Q: object is thrown into the air with initial velocity v = 5m/s. After being released it is only…

A: Initial velocity v = 5m/s. a = -9.81m/s2We need to find time taken in reaching maximum height.

Q: A jet fighter needs to be at the speed of 170mi/hr. What is the acceleration needed for the jet…

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Q: A hot air balloon is rising straight up with a speed of 4.67 m/s. A ballast bag is released from…

A: The hot air balloon is moving up with a speed of 4.67 m/s. At a height of 6.36 m from the ground, a…

Q: A rocket is launched from the origin with an acceleration of 20.0 m/s2 at an angle of 30.0 degrees…

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Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: Suppose a plane accelerates from rest for 30 s, achieving a takeoff speed of 80 m/s after traveling…

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Q: How much time, at most, does the man have to get out of the way?

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

A: The average acceleration is given as a=(v-u)/t where v is the final velocity and u is the initial…

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: You throw a ball from the balcony onto a basketball court.  You release the ball at a height of 7 m…

A: Given data: height h = 7 m Initial velocity u = 9 m/s angle θ=33o horizontal distance of friend r =…

Q: Ben and Holly were playing with a flash drive in the computer room. Ben slid the flash drive on top…

A: Given information: The Initial velocity of the flash drive (u) =  2.5 m/s The height from which it…

Q: An airplane covers a straight-line distance of 8.59 km in 30 .1 s, during which time it has a…

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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…

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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 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: car is driving along 15 m/s and is approaching a crosswalk with a baby carriage in the middle. The…

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Q: A ball is thrown from the ground at a speed of 15 m / s, while another ball starts free fall from 35…

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Q: A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car.If the…

A: Speed of the speeding car = 30 mstime elapsed before the police started = 1 sec

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

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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 data: The speed of the student is u=5.0 m/s. The distance of the student is s=40.0 m. The…

Q: A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes,…

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Q: You're driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front…

A: Given data:  Initial velocity (Vi) = 20 m/s Brakes applied after time (t) = 0.5 s Acceleration (a) =…

Q: The velocity and acceleration of an object at a certain instant are i = (3.0 m/s)j %3D å = (5 m/s²)i…

A: The velocity of an object at a given instant = 3 ms j^The acceleration of an object at a given…

Q: A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.92 m/s2 for…

A:

Q: A man walks on a straight road from his home to market 2.5 km away with a speed of 5 km/h. Finding…

A: The distance from the home to market is given as, s=2.5 km (or) s=2500 m The speed of man with which…

Q: A car running at 12.0 m/s passes through a police mobile. As soon as it reaches the police mobile,…

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Q: A speeder travelling at a constant velocity of 40 m/s passes by a police car that is initially at…

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Q: ow far is the tractor in front of you when you finally stop?

A: initial speed u = 23.6 m/s  acceleration a = - 7.2 m/s2  final speed v = 0