To stop a car, first you require a certain reaction time to begin braking; then the car slows under the constant braking deceleration. Suppose that the total distance moved by your car during these two phases is 51.8 m when its initial speed is 81.3 km/h, and 20.1 m when its initial speed is 48.8 km/h. What are (a) your reaction time and (b) the magnitude of the deceleration?

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A:

Q: A car starts from rest and travels for 5.0 s with a uniform acceleration of +1.5m/s2. The driver…

A:

Q: At T=0, one toy car is set rolling on a straight track with an initial position of 0.13m, initial…

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

Q: The driver's manual says a tire car in good condition and at a speed of 80 km / h can stop at a…

A: Write the given values with the suitable variables. u1=80 km/h=80×10003600 m/s=22.22 m/sd1=56.7…

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A:

Q: At t= 0, one toy car is set rolling on a straight track with initial position 14.5 cm, initial…

A:

Q: A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.5 m/s. a) If the…

A: Given data:  Initial velocity (u) = 14.5 m/s Final velocity (v) = 0 m/s Acceleration (a) = -2.5 m/s2…

Q: A bus stopped at a traffic light. Its position is given by x(t)=38.0m + (22.4 m/s)t -…

A:

Q: An electric vehicle starts from rest and accelerates at a rate of 2.1 m/s2 in a straight line until…

A: Given: from t=0 to t1 initial velocity u1=0m/s acceleration a1=2.1 m/s2 final velocity v1=21 m/s…

Q: Starting from rest at home plate, a baseball player runs to first base (90 ft away). He uniformly…

A:

Q: The brakes are applied to a moving car, causing it to uniformly slow down. While slowing, it moves a…

A: Distance travelled (S) = 40.0 mFinal velocity (v) = 2.05 m/s Time (t) = 7.00 s

Q: A driver in a moving car applies the brakes. The car slows to a final speed of 3.20 m/s over a…

A: The final speed of the car, v=3.20 m/s The distance covered by the car, S= 40 m The time taken by…

Q: A person walks first at a constant speed of 4.70 m/s along a straight line from point O to point B…

A:

Q: The position of a particle is given by: x = 9.6 seconds. (a) When does the particle momentarily…

A: Position of particle is given by x=9.6-4.0t+2.0t2  A) if the particle is momentarily rest means its…

Q: Driving down the road at a speed of 30.1 m/s, you suddenly notice a fallen tree blocking the road a…

A: Given in question -  Speed(v) = 30.1 m/s Distance(D) = 78.5m Distance before tree(d) = 7.1 m To find…

Q: driver in a moving car applies the brakes. The car slows to a final speed of 1.70 m/s over a…

A: This problem can be solved by using first and third equation of motion which is given as v = u + at…

Q: A car starts from rest and travels for 10.0 s with a uniform acceleration of +2.8 m/s2. The driver…

A: Please see the attached image for the solution. If there are queries or if the image is not loading,…

Q: An object moves with constant acceleration 4.40 m/s2 and over a time interval reaches a final…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A: Given data : Initial velocity u= 0 m/s, rest Final velocity v = 10.8 m/s Time (t) = 3.36 seconds

Q: A particle travels in a linear path A-B-C. It start from rest at A and reaches B after 2 s. The…

A: Apply the second kinematic equation from A to B to calculate the distance traveled in path AB.…

Q: An object moves with constant acceleration 4.80 m/s² and over a time interval reaches a final…

A:

Q: A dog runs at 21 km/h [N] for 5.0 min, slows to a stop over a period of 8.0 s, sniffs at a tree for…

A: The path covered by the dog is given below. Average velocity is given by v=total displacementtotal…

Q: A car travels in a straight line along a road. The car’s distance x from a stop sign is given as a…

A: (a) Given: The equation of position is xt=αt2-βt3 where α=1.50 ms2 and β=0.0500 ms3. Introduction:…

Q: An electric vehicle starts from rest and accelerates at a rate of 1.8 m/s2 in a straight line until…

A:

Q: A person walks first at a constant speed of 4.55 m/s along a straight line from point to point and…

A:

Q: A model rocket is launched straight upward with an initial speed of 45.0 m/s. It accelerates with a…

A: As per guidelines only 3 subparts are solved here. Given, A model rocket is launched straight upward…

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

A: Given:  final velocity, v = 0  initial velocity, time, t  = 3 s

Q: At a football tryout, a player runs a 40-yard dash in t2 = 5.00 seconds. If the reaches his maximum…

A:

Q: During a braking test, a car is brought to rest beginning from an initial speed of 56 mi/hr in a…

A:

Q: A wind-up toy car is released from rest. It accelerates up to a maximum speed over the first 2 m it…

A:

Q: A certain elevator cab in a New York hotel has a total run of 160 m. Its maximum speed is 280 m/min.…

A: Given data *The given maximum speed is vmax = 280 m/min = (280/60) m/s = 4.67 m/s *The final speed…

Q: Problem 1:   Two trucks both cover a straight distance, d = 297 m, in time t = 11.5 s. Truck A moves…

A: Given value--- d = 297 m. t = 11.5 s initial velocity of truck B = 5.9 m/s. We have to find---…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then…

A: Given value--- first covered distance = 89 m. second cover distance ÷ 152 m. total taken time =…

Q: Part (a) Assuming the driver just barely avoids a collision, what is the final distance, in meters,…

A: Given that: The velocity of the car (v1)=54 mph Distance between truck and car (d)=0.65 mi The…

Q: A car, moving to the left in a straight line in the negative x-direction, travels a distance d=17 m…

A: YES   The distance travelled by the car in the negative x direction is d =17 m in time interval of t…

Q: In a 25 storey building, the elevator starting from rest at first floor is accelerated at 0.8m/sec2…

A: The acceleration(a) is 0.8 m/sec2.The time (t1) is 5 sec.The time t2 is 10 sec.The time t3 is 3…

Q: Determine the magnitude of the average acceleration of the car (in m/s2).   (b) Assume that the car…

A: Given  Vi = initial speed=0 m/s=vi Final speed=45.5 m/s =vf Time required =t=8.50 sec Average…

Q: a certain car accelerates uniformly from zero to 20.6 m/s in 2.65 s. (a) What is the magnitude of…

A: Given data:  Initial velocity (v0) = 0 m/s Final velocity (v) = 20.6 m/s Time (t) = 2.65 s

Q: An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a…

A:

Q: A skateboarder starts from rest atop a slope that is 20.0 m long and accelerates uniformly 2.60 m/s…

A: Given: length of slope L= 20.0minitial velocity u = 0 m/sacceleration a = 2.60 m/s2

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 –