B) A truck accelerates from rest at 3 m/s2 for 15 second along a straight road. It then moves at a constant speed for 9 min. Driver applies the brakes when he sees a fallen tree on the road and decelerates uniformly to a stop in 15sec.     Show through calculation, will the truck hit the fallen tree if it is at a distance of 24km from the starting point. The average velocity for the whole journey

Q: In an experiment, a shearwater (a seabird) was taken from its nest, flown a distance 5040 km away,…

A: The average velocity is given by, vx,avg=ΔxΔt And, Δx=xf-xi Thus, vx,avg=xf-xiΔt

Q: What is the average acceleration in m/s² of a moving car with an initial velocity of 12.5m/s and…

A: Given: time, t= 6minutes = 360 seconds initial velocity,u = 12.5m/s final velocity, v = 25m/s

Q: Assume there is a completely straight highway from City A to City B, which is 200km long. You drive…

A: Average speed=Total distancetime                     = 200+2004                    = 100 km/h

Q: A model rocket flies straight upward with constant acceleration, undergoing a displacement of 15.0 m…

A: To solve the given question we will find the acceleration first and then using that acceleration we…

Q: A particle is observed to start at rest and accelerates at a 30 + 2t, where t is in seconds, until…

A: acceleration a = 30+2t Retardation a= -0.003v2

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Given: Let, the time to drive from Santa Cruz to San Jose is t1, and the time taken back to the…

Q: The three-toed sloth is the slowest moving land mammal. Assume that on the ground the sloth moves at…

A:

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: Part a) Let the time taken for the Ducati to overtake the BMW is 't' sec. The initial speed of both…

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Average Velocity of an object is its total displacement divided by total time taken.  Displacement -…

Q: Albert is riding his scooter at a velocity of 52 km⁄ℎ? when he sees an old woman crossing the road…

A: Given : vo = 52 km/h = 52(1000/3600) = 14.44 m/s x = 30 m v = 0 (because finally the scooter stops)…

Q: A student drove to the university from her home andnoted that the odometer reading of her car…

A: a. The average speed is

Q: A person walks first at a constant speed of 4.60 m/s along a straight line from point O to point B…

A: Given that:- Speed of person from A to B=4.6m/s  Speed of person from B to A=2.8m/s

Q: Two cars are traveling at constant speeds of 80 km / h and are on a straight road behind each other…

A:

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

A: Given:- Acceleration of the car is 6 feet /sec2  At the same time, a truck traveling with a constant…

Q: An express train passes through a station that is 212 m long. It enters with an initial speed of…

A: length of station (L) = 212 m Initial speed of train (u) = 22.5 msacceleration (a) = -0.13 ms2

Q: In an experiment, a shearwater (a seabird) was taken from its nest, flown a distance 5190 kmkm away,…

A: Given: time taken to come back aftert replease t=13.5day

Q: A model rocket on the ground is fired vertically from rest. It has a constant acceleration of 17.5…

A: Given values: Acceleration, a=17.5 m/s2 Time, t=1.5 minutes

Q: When you see a traffic light turn red, you apply the brakes untilyou come to a stop. If your initial…

A:

Q: In an experiment, a shearwater (a seabird) was taken from its nest, flown 5150 km away, and…

A: The average velocity, vx,avg=∆x∆t=xf-xit2-t1   Substitute, vx,avg=0-5150 km13.5 days-0=-5150 km13.5…

Q: A runner makes one lap around a 200 m track in 25 seconds. What were the runner’s average speed and…

A: From the question it is given that:  Distance traveled to make one lap: s = 200 m Time taken to…

Q: Starting from rest, the elevator in an office building is accelerated 0.5 m/s2 for 5 seconds. And…

A: acceleration (a) = 0.5 ms2t1 = 5 seconds time for which the elevator moves with constant velocity =…

Q: Steadily increasing your velocity from 12km/h to 35km/h in 120 seconds, how much distance can you…

A:

Q: Average acceleration can be calculated by finding the change in velocity over a period of time. In a…

A: The velocity is given as, v(t)=35 ln (t-1) For t = 7 s, velocity is , v(7)=35 ln (7-1)=35…

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

A:

Q: A drag car starts from rest and moves down the racetrack with an acceleration defined by a= 50 -…

A: Given: initial velocity of the car = 0 m/s Acceleration due to car = 50-10 t Speed of the car = 125…

Q: Professional baseball player Nolan Ryan could pitch a baseball at approximately 160.0 km/h. At that…

A: The given values are, vi = 160 km / h = 44.44 m/sx = 18.4 mvf = 0 Use the kinematics equation , vf =…

Q: A Burglar car A has started with an acceleration of 2 m/s, and police car B starts after 7 seconds…

A: Given data: Acceleration, a=2 m/s2` Time taken, t=7 s Uniform velocity, v=100.8 km/h=100.8×1000…

Q: Suppose a car is traveling at +19.9 m/s, and the driver sees a traffic light turn red. After 0.269 s…

A:

Q: The engineer of an intercity train observes a rock slide blocking the train's path 550 m ahead and…

A: Given data:  Distance (s) = 550 m Acceleration (a) = -1.7 m/s2 Final velocity (V) = 0 m/s Required:…

Q: Suppose a car is traveling at +24.3 m/s, and the driver sees a traffic light turn red. After 0.219 s…

A: Given: Speed of the car (v) = 24.3 m/s. reaction time (tr) = 0.219 s. Deceleration (a) = 4.0 m/s2.

Q: A car's manual states that the vehicle can brake at an initial speed of 100 km/hr with a maximum…

A: Write the equation of motion

Q: Derive a formula that relates the displacement, final velocity, time and constant acceleration of an…

A:

Q: In the 1991 World Track and Field Championships in Tokyo, Mike Powell jumped 8.95 m, breaking by a…

A:

Q: :) Our superhero is not entirely exempt from the laws of physics, however, and in order to reach…

A:

Q: Calculate the height of a cliff if it takes 2.35 s for a rockto hit the ground when it is thrown…

A: a) The time taken by the rock to hit the cliff is,

Q: Sketch the velocity-versus-time graph for a car that accelerates uniformly from rest to 30 m/s in 5…

A: Follow the following steps to draw the velocity versus time curves. chose an appropriate axis for…

Q: On a highway, the driver applies the brakes when he sees rocks on the road due to a landslide. The…

A: distance of rock, d = 65 m  final velocity of truck, v = 0  Acceleration, a = -3.4 m/s2 time after…

Q: A blue car is moving at a constant speed of 70 m/s when it passes signage with a police officer…

A: Velocity of blue car, vb = 70 m/sAcceleration of blue car, ab = 2 m/s2Initial velocity of police…

Q: In 1967, the New Zealander Burt Munro set the world speed record for an Indian motorcycle, on the…

A: Given data: Final maximum speed of the motorcycle, v0=183.58 mi/h = 82.1 m/s Final speed, v=60.0…

Q: A powerful motorcycle can accelerate from rest to 25.8 m/s (58 mi/h) in only 4.90 s. (For each…

A: a. Consider the following kinematic equation of motion:     v = u + at     where, v is final…

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: Velocity of the Ducati V1 = 100km/hr = 27.77m/s Initial  velocity of BMW u2 = 100km/hr Deceleration…

Q: A speeding driver noticed a police car parked about 433 m in from of him on the side of the road and…

A: Solution: s = distance travelled by speeding car = 433 m u = initial speed of car v = final speed of…

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.