The driver of a car, which is initially at rest at the top A of the grade, releases the brakes and coasts down the grade with an acceleration in feet per second squared given by a = 2.82 - 0.003v2, where v is the velocity in feet per second. Determine the velocity vB at the bottom B of the grade.

Q: A car travels 40 m in 8.5 s with uniformly de-acceleration to a final velocity of 2.8 m/s. (1) Find…

A: The net force acting on an object is equal to the product of the mass and acceleration of the…

Q: An object moving with uniform acceleration has a velocity of 10.5 cm/s in the positive x-direction…

A: Using kinematic equation, the expression for find acceleration is ∆x=ut+12at2a=2∆x-utt2=2xf-xi-utt2

Q: Modern oil tankers weigh more than a half-million tons and have lengths of up to one-fourth mile.…

A: (given) Distance of massive ships in 20 min. (=20×60 s=1200 s) = 5 km…

Q: use the position function s(t) = −4.9t2 + 200, which gives the height (in meters) of an object that…

A: Given-s(t)=-4.9t2+200When object hit the grounds(t)=0-4.9t2+200=0t=2004.9=6.388 s

Q: A car travels 40 m in 8.5 s with uniformly de-acceleration to a final velocity of 2.8 m's. (1) Find…

A: Given: The distance (S) traveled by car is 40 m. The time is taken (t) for the motion is 8.5 s. The…

Q: A car travelling at the speed Vo on a straight level road. After the brakes are applied at t = 0,…

A:

Q: A hot-air balloon is rising upward with a constant speed of 3.07 m/s. When the balloon is 3.24…

A: Given speed u=3.07m/s and height h=3.24m and gravitational acceleration g =9.81m/s. The formula we…

Q: Why is the following situation impossible? Emily challenges David to catch a $1 bill as follows. She…

A: Every human being takes about 0.2 seconds to react on the event. So, David would catch the $ 1 bill…

Q: A small rocket fired straight up. When a height of 5.0km and velocity of 200.0m/s, it releases its…

A:

Q: A car travelling at the speed of V m/s on a straight, level road. After the brakes are appled at…

A: Given data: Distance s =1119t3-t2+18t                        (1)

Q: Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on…

A: Given data: Initial speed is, u1=0 m/s                  (As sled starts from rest) Final speed is,…

Q: Assume you are driving a car at a constant speed of 80.0 km/h. Suddenly you see a deer standing on…

A: We have, Constant Speed, V0=80 km/h   V0=80×10003600=22.22 m/sDistance travelled during reaction…

Q: When an object travels through a resistive medium, the rate at which it loses speed at any given…

A: Acceleration a=-kv msec2  Initial speed=u msecFinal speed v=12u msecTime t= 1kln2 sec

Q: When a high-speed passenger train traveling at vp = 159 km/h rounds a bend, the engineer is shocked…

A: The distance,

Q: At t = 0, a train approaching a station begins decelerating from a speed of 80 miles/hour according…

A: (a) . At t= 0 , the train starting deaccelerating from a speed of 80 miles/hr. So, at t= 0 , the…

Q: One train is traveling 120 m with a velocity of 52 km/h and a second train is traveling in the…

A: Given data: Distance travelled by the first train, d1=120 m Velocity of the first train, V1=52 km/h…

Q: A car is travelling at the speed of V m/s on a straight, level road. After the brakes are applied at…

A: In this step, we would find the speed function of the car by differentiating s with respect to t in…

Q: The minimum stopping distance for a car traveling at a speed of 30 m/sm/s is 60 m, including the…

A:

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given data:  Initial velocity (Vi ) = (2.69 î - 2.98 ĵ)m/s Time (t) = 3.00 s Final velocity (Vf) =…

Q: Given that down is the positive direction and g=9.8 m/s^2, how would the graph of velocity vs. time…

A: Velocity vs Time graph Let us say the object if free falling. So its initial velocity (u) is zero.…

Q: A body moving with constant acceleration has a velocity of 12.0 cm/s in the positive x direction…

A:

Q: What is the constant acceleration of the moving object with a velocity of 12.0 cm/s in the positive…

A: Image-1

Q: A formula for acceleration, a, of a point P moving on a line is a= 6t -6, where s = 0, v = 2 and t =…

A:

Q: On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet…

A: solution: Given that u = 64 ft/s

Q: A train starts from rest and accelerates uniformly at 1.5 m/s​^2 until it attains a speed of 30 m/s.…

A:

Q: An elevator in the Taipei 101 skyscraper can start fromrest and accelerate to a maximum speed of 16…

A:

Q: 2. 1. B is riding in an elevator. A is on the ground at rest, and takes the following data for B: o…

A:

Q: Three seconds after automobile B passes through the intersection shown, automobile A passes through…

A: Given, The velocity of car A, vA=45 mi/h=20.12 m/s, and Velocity of car B, vB=30 mi/h=13.41 m/s. The…

Q: A train makes a round trip on a straight, level track. The first half of the trip is 300km and is…

A: Given:For first half of the tripDistance covered by train s1 = 300 kmSpeed of the train v1 = 75 km/h…

Q: For the following exercises, consider a rocket shot into the air that then returns to Earth. The…

A:

Q: airplane starting from the rest uses 1000m of runway length to acquire a take off speed of 150 m/s.…

A:

Q: A student accidentally drops a pear ( m=0.42) from the top of the c-building while enjoying his…

A: Given data:  Student drops a pear from top of a building  Initial velocity (v0) = 0 m/s Mass (m) =…

Q: A ball, thrown vertically upward, rises to a height of 80 m and returns to its original position.…

A: For the ball going upwards, the final velocity will be zero. Final velocity, v = 0 m/sAcceleration…

Q: A 82.4 KG person stands on a scale in an elevator. What is the apparent wait when the elevator is…

A:

Q: The deck of a bridge is suspended 225 feet above a river. If a pebble falls off the side of the…

A: Please see the answer below

Q: A building is under construction, and a construction worker is standing on top of a 130 m high…

A: Given : Height from which hammer drops (h) = 130 m Initial speed (u) =0 Acceleration due to gravity…

Q: A particle moves according to a law of motion s = f(t) = t - 15t2 + 72t, tz 0, where t is measured…

A: We have position of the particle given by s=t3-15t2+72t, velocity of the particle v=3t2-30t+72 and…

Q: Assume you are driving a car at a constant speed of 76 km/h. Suddenly you see a deer standing on the…

A:

Q: t rate over a distance of 178 m. The entire trip lasts a total duration of 18.7 s. What were the…

A: We know that a car starts from the rest and then accelerates at a constant rate over a distance of d…

Q: Ignoring air resistance, the magnitude of the velocity of an object falling straight down a) depends…

A: From equation of motion V = U + a.t Here, V = final velocity at time 't'. U = initial velocity  a =…

Q: Use the position function s(t) = −4.9t2 + 250, which gives the height (in meters) of an object that…

A:

Q: A baseball is hit high and far. Which of the following statements is true? At the highest point,(a)…

A: The baseball travels in the projectile motion always. Acceleration in the projectile motion is…

Q: A train starts from rest and accelerates uniformly until it has traveled 2.5 km and acquired a…

A:

Q: yclq 3. A car travelling at 122 km/h strikes a tree, the front end of the car compresses, and the…

A: Average acceleration (a) : According to newton’s equation of motion: v2-u2=2as Where v= final…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.