A Honda Civic travels in a straight line along a road. Its distance x from a...

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t²− β t³, where α = 1.44 m/s² and β = 5.00×10−2 m/s³

a. Calculate the average velocity of the car for the time interval t=0 to t₁ = 1.95 s .

b. Calculate the average velocity of the car for the time interval t=0 to t₂ = 3.96 s .

c. Calculate the average velocity of the car for the time interval t₁ = 1.95 s to t₂ = 3.96 s .

Expert Solution

genius_generous answered 2 years ago

A car travels a certain distance along a straight road (in the +x direction). The distance...

A car travels a certain distance along a straight road (in the +x direction). The distance the car travels as a function of time is shown in the figure below. When the car changes speed it does so uniformly. Select the appropriate choice for each statement. It wont let me post the photo of the graph for some reason, so here is a link to it https://d2vlcm61l7u1fs.cloudfront.net/media%2Fa8f%2Fa8f89426-1896-44e8-863a-df989e927825%2FphpeLSO6i.png The acceleration magnitude at 15 sec is ..... the acceleration magnitude at 37...

A car travels along a straight east-west road. A coordinate system is established on the road,...

A car travels along a straight east-west road. A coordinate system is established on the road, with x increasing to the east. The car ends up 19 mi west of the intersection with Mulberry Road. (A) If its displacement was -21 mi , how far from Mulberry Road did it start?

A school bus drives in a straight line down a road. Its position x from a...

A school bus drives in a straight line down a road. Its position x from a stop sign is given as a function of time by the following equation: x(t)=At^2-Bt^3, where A = 2.50 m/s^2 and B = 0.0855 m/s^3 . Use this information to calculate: a. the bus’s average velocity from t = 0 to t = 2.00 s b. the bus’s instantaneous velocity at t = 0 and t = 2.00 s c. the bus’s average acceleration from...

(4) A bicycle travels along a straight road. Let p (t) = The position of the...

(4) A bicycle travels along a straight road. Let p (t) = The position of the bicycle (in feet) at time t(in seconds) v (t) = The velocity of the bicycle (in feet/sec) at time t (in seconds) a (t) = The acceleration of the bicycle (in feet/sec2 ) at time t (in seconds) ( some of these questions require you to write an integral, some don’t; only use an integral to answer a questions if you need to) (a)...

2. a. A particle moves in a straight line along with the ? − ???? its...

2. a. A particle moves in a straight line along with the ? − ???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 + 12? + 6,? ≥ 0, where ? is measured in seconds and s is measured in meters. Find: i. The velocity function of the particle at time ? (2marks) ii. The acceleration function of the particle at time t. (2marks) iii. The acceleration after 5 seconds (1marks) b. Find the...

A Honda Civic 1.2 has a mass of 680 kg moves up on inclined road (0...

A Honda Civic 1.2 has a mass of 680 kg moves up on inclined road (0 5) with a velocity of 50 km/h (3000 rpm crankshaft speed). a) Compute resistances which prevents the car to move, b) Determine the available tractive effort. (wheelbase-22 m center of gravity. 70 cm high distance from centre of gravity to the front wheels axil is 0.7m, friction coefficient-0.4. driveline efficiency 92%, gear reduction ratio 4.2, tire size 17570R13 (wheel diameter 13 inch or 40...

Starting from rest, a truck travels in a straight line for 7.0 s with a uniform...

Starting from rest, a truck travels in a straight line for 7.0 s with a uniform acceleration of +1.6 m/s2. The driver then applies the brakes for 3.0 s, causing a uniform acceleration of −2.0 m/s2 over that time. (a) What is the truck's speed at the end of the braking period? (b) What is the total distance traveled by the truck (from the point where it started at rest to the end of the braking period)

An object is moving along a straight line, and the uncertainty in its position is 2.20...

An object is moving along a straight line, and the uncertainty in its position is 2.20 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass = 0.0450 kg) and (c) an electron.

1). A car is moving along a straight line defined to be the positive x direction....

1). A car is moving along a straight line defined to be the positive x direction. Its velocity is measured and found to be a function of time given by Vx(t)=(alpha)t^2 , where alpha is a known constant. The car was at the point x = A at the time t = 2sec. Find the car's position as a function of time. How fast would the car be going just before it hits a wall located at x = L?...

True or false: 1- X ray travels in a straight line 2- Negatively charged particle of...

True or false: 1- X ray travels in a straight line 2- Negatively charged particle of an atom is electron 3- In mri modality, the time defined by T1 increase with magnetic field 4- In mri device, increasing the magnetic field can produce more susceptibility artifacts 5- If we don’t apply external magnetic field to the human body, water molecules spin randomly 6- We can align the water molecules spinning behavior if we apply an external magnetic field to the...

Question