The velocity of a particle travelling along the a straight line is v= (3t²-6t)m/ s, where t is in seconds. If s=4m, when t=0, determine the position of the particle when t=4s. What is the total distance travelled during time interval t=0 to t=4s? also what is the acceleration when t=2s?

Q: My pug/bulldog mix, Georgia, who is blind and deaf, gets a whiff of her dinner. As soon as it…

A:

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

A:

Q: A car in stop-and-go traffic starts at rest, moves forward 25min 8.0s, then comes to rest again.What…

A: The distance covered by the car in last 2.0 seconds can be calculated using given steps.

Q: You are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You…

A:

Q: Problem 22:   A rock takes 2.85 s to hit the ground when it is thrown straight up from the cliff…

A:

Q: A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W].…

A: Given data:  Badger travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]…

Q: A motorcycle has a constant acceleration of 5 m/s2. Both the velocity and acceleration of the…

A: Acceleration of the motorcycle, a=5 m/s2 The velocity at the time t=4 s is v=60 m/s

Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

A:

Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

A:

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: An object on a number line moved from x = 12 m to x = 124 m andmoved back to x = 98 m. The time…

A: Given,  Initial position of the object = X1 = 12 m Then the object moved to position 2, X2 = 124 m…

Q: The particle travels along the path defined by the parabola y = 0.5x², where and y are in ft.…

A:

Q: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

Q: A cyclist reaches the top of a hill at 5.0 m/s and travels downhill with a constant acceleration,…

A: Given: The initial speed of the cyclist at the top of the hill is 5 m/s. The final speed of the…

Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

A:

Q: A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they…

A: (a) Time taken for the race is, DT=35 cm+DHvt=0.35 m+20vt-4 min0.12 m/st=0.35 m+200.12 m/st-240…

Q: Question 6 3 pts At t = 0, a car is going 9 ft/s and is 259 ft from the start of the road. The…

A:

Q: he velocity (v) in metres per second of an object in terms of the time (t) in seconds is given by:…

A: Given: The equation of the velocity of the object is. v=-10t2+9…

Q: f the acceleration is constant, how much time elapses while the auto moves the 180 ft? Answer in…

A: u=24 fts &   v=37 fts   , s=180 ft , a=constantUsing third equation of motion , we get…

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

A:

Q: An item on a straight line has a displacement s and time t  of:  s= -6t^6 - 4t^4 + 2  What is the…

A: An item on a straight line has a displacement s and time t  is s=-6t6-4t4+2

Q: A car position is. determined by the equation x(t) = 7.45 m/s^3t^3+3.91 m/s^2t^2-21 m/s t+2.17 m.…

A:

Q: An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first…

A: The speed of the athlete in the first 500 m is,

Q: Position of a particle moving along the x-axis varies in time according to the following expression…

A: Given data:  Position as function of time xt = -2.0 ms3t3 + 6.0 mst - 2m Required: The average…

Q: A treasure hunter follows a map moving 25 km [N], 37 km [W 37 degrees S], 63 km [E 65 degrees S] and…

A: Average speed of the hunter is u = 45 km / hr

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: The distance travelled by the nerve impulse is d=1.6m

Q: The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel…

A:

Q: In coming to a stop, a car leaves skid marks 77 mm long on the highway.   Assuming a deceleration of…

A: Given value--- distance = 77 m . deceleration = 4.30 m/s2  . We have to find--- estimate the…

Q: An express train passes through a station that is 220 m long. It enters with an initial speed of…

A: Given Length of station d = 220 m Length of train L = 130 m Initial speed u = 22.5 m/s Acceleration…

Q: A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From…

A: Let this acceleration required to stop the plane within the runway be a.

Projectile Motion