A driver is driving his car at 50 km/hr when he observes that a traffic light 200 m ahead turns red. The traffic light is timed to remain red for 25 seconds before it turns green. The driver wishes to pass the traffic lights without stopping to wait for it turns green. Calculate (a) the required uniform acceleration of the car, (b) the speed of the car as it passes the traffic light.

Q: Determine the maximum constant speed a race car can have if the acceleration of the car cannot…

A: Write the given data:

Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

A:

Q: Two Cars A and B are traveling in the same direction at the same speed of 20 meters per second along…

A:

Q: A stone A is dropped from rest down a well, and at time t1 another stone B is dropped from rest.…

A: t1=1 sec Stone B is dropped from rest after 1 sec of dropping of Stone A from rest. As both stones…

Q: * 17. The speed of an object undergoing constant acceleration increases from 8.0 meters per second…

A:

Q: (a) Determine the radius of curvature of the trajectory and the time rate of change of the speed of…

A:

Q: 11.41 As relay runner A enters the 65-ft-long exchange zone with a speed of 30 fus, he begins to…

A:

Q: Two automobiles A and Bare approaching each other in adjacent highway lanes. At t= 0, A and Bare…

A:

Q: A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at…

A:

Q: A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate…

A: Given: The total acceleration of the train, a≤1.5m/s2 The radius of curvature, ρ=400 m The final…

Q: 1. Collar A starts from rest at t= 0 and moves upward with a constant acceleration of 4.2 in/s?.…

A:

Q: R = 0.2 m 13.14 The speed of the belt is changed at a uniform rate from 0 to 2 m/s during a time…

A: given data:  change in speed=0 to 2 m/stime interval=0.2secdistance traveled=?

Q: A motorist is traveling at 54 km/h when she observes that a traffic light 240 m ahead of her turns…

A: Given data :Vo=54 km/h=15 m/st=24 sxo=0 , x=240 m

Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

A:

Q: A vehicle rounds a circular track of a radius of 40 ft. If the tangential velocity of the vehicle is…

A:

Q: Particle A travels on a path such that the radial position of A is given by r = 50 m, where is in…

A: The radial position of point A is r=5θ m The angular acceleration is θ˙ =2 rad/s

Q: A man is driving his 4.5 m long automobile at 90 kph when the traffic signal in front of him changes…

A:

Q: A particle moves along a straight line in such a manner that its displacement, at any instant, from…

A: Given :-  S = 1/10 + (t^3 + 6t^2 + −4 t)

Q: A two-stage missile is fired vertically from rest with the acceleration shown. In 15 s the first…

A: To plot: The v-t and s-t graphs which describe the two-stage motion of the missile for 0 ≤t≤ 20 s.

Q: k is a positive constant and v its speed. At time t = 0, it passes through the origin with speed gT…

A:

Q: A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top…

A:

Q: The car stops at a distance of Im.

A: Given DataA car of speed VA=74 Km/hA bicycle speed B VB=11m/sThe distance d =44 m from the…

Q: 1. A particle travels along a straight line with a velocity, v = 6 – 32 where t is in seconds. When…

A:

Q: An airplane takes off from a runway increasing its radial distance r= 450 ft, rate of climb e= 0.1…

A: Given: The radial distance, r = (45θ) ft The rate of climb, dθ/dt = 0.1 rad/s The acceleration,…

Q: Q1. The position coordinațe (distance) of a particle moves along a straight given by the relation […

A:

Q: A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at…

A:

Q: A runner in 140-m race constantly accelerates for the first 40 m. and then runs with a uniform…

A:

Q: Question: Car BB is traveling along the curved road with a speed of 15 m/s while decreasing its…

A:

Q: A car goes on a highway at 108 km / h. At one point, the driver observes an obstacle in the middle…

A: Given data: u=108 km/hr =30 m/sD=200 mt=2 s Need to determine the uniform deceleration the car must…

Q: A car is traveling around a circular track of 780-ft radius. If the magnitude of its total…

A:

Q: An engine driver suddenly puts on his brake and shuts off steam when he is running at full speed; in…

A:

Q: A car is traveling at a constant speed of 54 km/h when its driver sees a child run into the road.…

A: Given            At t=0, x=0  v=54 km/hr           for t=t1   v1=54 km/hr First note,   54 km/h = 15…

Q: A particle moves counterclockwise in a circular path of 400 ft radius. It starts from a fixed point…

A:

Q: dius. At this instant the directions of their motions are given in the image below. If at this in is…

A:

Q: A telemetry system is used to quantify kinematics values of a ski jumper immediately before she…

A:

Q: m. Find (i) the original speed of the train, (ii) the time before it comes to rest, (iii) the…

A: As per honor code and answering guidelines I can answer answer first 3 subparts at a time.If you…

Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

A: Given, Velocity at C = v =  66.19 mph = 97.079 ft/s Initial velocity at A = u = 0 ft/s (Starting…

Q: A particle moves from point A with an initial speed of 1.5 ft/s. It is known that its tangential…

A: Given: The initial speed of particle, vi = 1.5 ft/s The time from A to C, t = 3 second The radius of…

Q: Problem 1. A particle moves along a straight line in such a manner in such a manner that its…

A: Givens=110+t3+6t2-4tt=10s

Q: In a GT car racing, a Porsche 919 (A) and an Audi R18 (B) reach the line C-C side by side at the…

A:

Q: 10. A batter strikes a baseball moving horizontally towards him at 15 m/s. The ball leaves the bat…

A: Consider the diagram shown below for the given condition.

Q: A particle is moving along a straight road with its acceleration given by a = (2t – 1) m/s² for the…

A:

Q: 8) Dave is driving his Civic (car A) at 45mi/h (in a 30 zone) up to an intersection and notes that…

A: Dave is driving his Civic (car A) is : Dave is driving his Civic (car B) is : Given angle…

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.