4. During a short interval of time the velocity v in m/s of an automobile is given by v = at? + bt3, where t is the time in s. the units of a and b are respectively: s* /m m/s ; m/s* m. s? ; s3 /m ; A m. s4 C m/s² ; m/s3

Q: 1. A car is moving along a straight line with a velocity v = 312 - t + 5 m/s, where t is in seconds.…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: 1. The figure shows a graph of the velocity of an object as a function of time. Velocity (m/s) 20 10…

A:

Q: 3- The acceleration of an object is given by function a = 2s ft/s?. When t = 0, v = 1 ft/s. What is…

A: Ans:- Image-1

Q: A certain car is capable of accelerating at a rate of 0.52 m/s2. How long does it take for this car…

A: We can use equation of kinematics to calculate time taken by car to increase its speed : Equation of…

Q: 3. A truck travelling along a straight line road at a speed of 20kph, increases its speed to 120kph…

A:

Q: 22. A bullet in a gun is accelerated from the firing chamber to the end of the Udnu for 8.10x10 s.…

A: Given data:  Acceleration (a) = 1.35 m/s2 Initial velocity (V0) = 0 m/s Final velocity (V) = 80.0…

Q: 3) The position of a particle moving along the x-axis is given in centimeters by x = 9.75 + 1.5t³,…

A:

Q: 3. A locomotive is accelerating at 1.6 m/s2. It passes through a 20.0 m wide crossing in a time of…

A:

Q: 5. A car moves in a straight line such that for a short time its velocity is defined by y( 3t + 2t…

A: Velocity = dx/dt = rate of change of…

Q: 2) A plane starts from rest and accelerates along the ground before takeoff. It moves 600 m in 0.20…

A:

Q: 9. The speed of an object moving in a straight line increases from 10 m/s to 20 m/s in 2 s. What is…

A: Initial speed,  Final speed,  Time taken,

Q: 1. A car accelerates from 12 m/s to 25 m/s in 6.0 s. What is the cars' acceleration? How far did it…

A: 1) Using equation of motion V = U + at where V is the final speed U is the initial speed a is the…

Q: 3. A car is moving with constant speed of 80 km h when suddenly the driver sees a cat 50 m straight…

A:

Q: A fireworks shell is accelerated from rest to a velocity of 58.0 m/s over a distance of 0.280 m. (a)…

A:

Q: 44. The graph in the figure shows the velocity of a particle as it travels along the x- axis. (a) In…

A:

Q: 3. The average speed of a jeepney is 11.332 m/s while Toyota Wigo runs for 25.00 mi/hr. Between the…

A: Speed of jeepney, v1=11.332 m/s and speed of Toyota Wigo, v2=25 mi/hr. We need to find which is…

Q: 1. Given that the position of a particle is defined in terms of time by the equation below, where x…

A:

Q: 28. An auto manufacturer boasts that its newest sports car model "goes from 0 to 60 (mi/h) in 5.00…

A:

Q: 3. A fighter jet lands on the flight deck of an aircraft carrier. The jet must reduce its speed from…

A: Given, Initial velocity vi= 153m/s Final velocity vf= 0m/s Time taken t= 2s We know that,…

Q: 39. A truck is moving forward a constant speed of 21 m/s. The driver sees a stationary car directly…

A: Given data: Initial velocity (v0) = 21 m/s Distance between moving truck and stationery car = 110 m…

Q: 1. A car begins at rest at a stoplight. After the light turn green, the car begins to accelerate 5…

A: (1) Given data The initial speed of the car is: u = 0 m/s The acceleration of the car is: a = 5 m/s2…

Q: 2. A body moves in a straight line so that its acceleration is a=3v, where a is in m/s? and v in…

A:

Q: 1. A man jogs 5.0 km (5000 m) in 27 minutes. a) What is the time interval (At) in seconds? b)…

A: Given that  Distance = 5000m  Time = 27 min

Q: 3. A Tesla can accelerate from 0-60 MPH in 2.8 seconds, yielding an average acceleration of 21.4…

A: 3) Initial velocity (u) = 0 mph Final velocity (v) = 60 mph time taken = 2.8 seconds acceleration =…

Q: A rocket accelerates from rest at a rate of 42 m/s2. (a) What is its speed after it accelerates for…

A: GIven data The initial speed of the rocket is: u = 0 The acceleration of the rocket is: a = 42 m/s2…

Q: 9.While accelerating uniformly from rest, an object is displaced 19.0Om north in 7.10s. What is the…

A: given  initial velocity(u)=0(starts from rest) time (t)=7.10 sec displacement(d)=19 m(towards north)…

Q: A blue car travels down a straight road at a constant speed of 19.9 m/s. As they pass a red car,…

A: Given, Velocity of blue car is vb = 19.9 m/s Initial velocity of red car ured = 0 m/s Acceleration…

Q: 1. The following are examples of speed EXCEPT. A. 40 m/s B. 50 m/s C. 62 m/s West D. 75 m/s

A: Answering the first question. Speed is a scalar quantity, which is the measure of how fast an object…

Q: How much time is needed by a car to accelerate from 15.0 m/s to 35.0 m/s if it has a constant…

A: Bartleby guidelines allowing answer only the first question.

Q: 1) The equation of motion of a particle is s = t3 − 3t, where s is in meters and t is in seconds.…

A: Given Equation of motion of particle S=t3 - 3t We know Velocity V(t)=dsdt Acceleration…

Q: 10. A small toy airplane is flying in the xy- plane parallel to the ground. During the time interval…

A: Given: The velocity as a function of time is v→=1.2 m/s2ti^+12 m/s-2 m/s2tj^.

Q: 2. A motorcycle rider is travelling due east when he passed a small town. At the end of the town, he…

A:

Q: # 4. An unmarked police car traveling a constant 95 km/h is passed by a speeder traveling 135 km/h.…

A: Initial vertical velocity of ball = 20m/s  Acceleration due to gravity = 9.81m/s2

Q: 5. A car accelerates constantly from an initial speed of 20 miles per hour to 60 miles per hour at a…

A: Given: The initial speed of the car is 20 mi/h. The final speed of the car is 60 mi/h. The…

Q: 2. At highway speeds, a particular automobile is capable of an acceleration of about 1.8 m/s². At…

A: 2. Given data: Magnitude of acceleration is, a=1.8 m/s2. Initial speed of automobile is, u=65…

Q: A rocket accelerates from rest at a rate of 72 m/s2. (a) What is its speed after it accelerates for…

A:

Q: A blue car travels down a straight road at a constant speed of 21.7 m/s. As they pass a red car,…

A:

Q: 10. A small toy airplane is flying in the xy - plane parallel to the ground. During the time…

A: Given data: During the time interval t1=0s and t2=1s, the velocity as a function of time is v→=1.2…

Q: 1. An airplane accelerates down a runway at 3.20m/s² for 32.8s until it finally lifts off the…

A: Answer (1) initial velocity(u)=0 m/sacceleration(a)=3.2 m/s2time taken to take off(t)=32.8 sdistance…

Q: 1. A particle's position on the x-axis is given by x=8-6t+t² with x in meters and t is seconds. a.…

A:

Q: 1.) An acceleration of 90.0 m/s^2 was experienced by a rocket which was launched upward. The…

A:

Q: #3. A car slows down uniformly from a speed of 18.0 m/s to rest in 5.00 s. How far did it travel in…

A:

Q: A particle moves along the x-axis according to the equation x = 3.00 + 5.00t – 4.00t2 + 2t3…

A:

Q: 3. A car is moving with constant speed of 80 km h-' when suddenly the driver sees a cat 50 m…

A: Given values: Initial speed of the car, u=80 km/h Final speed of the car, v= 0 m/s The distance of…

Q: 1. The velocity of a car increases from 43.2km/hr [N] to 86.4 km/hr [N] over a 0.12hr interval. What…

A:

Q: 1. A car is traveling at 20 m/s when the driver sees a child standing in the road. He takes 0.80 s…

A: Initial velocity, u = 20 m/s Acceleration, a = -7 m/s2 time taken to react= 0.80 s

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 –