The position of a particle that moves along the x-axis is given by x = t 3 – 3t 2 – 45t m where tis the time in seconds. Determine the position, velocity, acceleration, and distance traveled at t = 8 s.
Q: A football quarterback runs 15.0 m straight down the playing field in 2.50 s. He is then hit and…
A: a) for first interval Vavg = s/t = 15/2.5 = 6 m/s For 2nd interval Vavg = -3/1.75 = -1.71 m/s…
Q: An airplane starts its takeoff by moving at 2.3 m/s. The plane must then accelerate at 3.0 m/s2 for…
A: The given values are,
Q: From t = 0 to t = 4.23 min, a man stands still, and from t = 4.23 min to t = 8.46 min, he walks…
A:
Q: A baseball is thrown straight down from a height of 38 meters. If the ball strikes the ground at 30…
A: Given data: Height (h) = 38 m Final velocity (v) = 30 m/s, downward g = 9.80 m/s2 Required: Initial…
Q: A ball is thrown vertically downward with an initial velocity of 5.6 m/s. How far (distance in…
A: From the question it is given that Initial velocity of ball u = 5.6 m/s Time taken: t = 3.78 sec
Q: The position of a particle is given by the expression x = 2.00 cos (2.00rt + x), where x is in…
A: Given that expression for the position of the particle Is x = 2.00 cos ( 2.00 π t + π) m Here x is…
Q: An object moves along the x-axis according to the equation x(t) = (3.00t3 – 2.00t + 1.00)m.…
A: Given,
Q: measured from ground level and the positive direction is upward.) d (m) 36 32 28 24 20 16 12 8. 4 by…
A: Instantaneous speed of elevator is given by the relation- Instantaneous speed: v = riserun Where,…
Q: In a slap shot, a hockey player accelerates the puck from a velocity of 6.5 m/s to 39 m/s in one…
A: The acceleration for the given case is v=u+ata=v-ut=39m/s-6.5 m/s0.0329 s=987.84 m/s2
Q: The particle travels along the path defined by the parabola y = 0.5x², where and y are in ft.…
A:
Q: A person walking covers 0.5m in 1.0s. She accelerates and in the next 1.0s they cover 1.5m. (a)…
A: (a) Use Newton's equations of motion to calculate the rate of acceleration. v=u+ata=v-ut=1.5 m1.0…
Q: If a stone is thrown straight upward with the initial velocity viy=34 m/s, what is the velocity of…
A: Initial upwards velocity (u) = 34 mstime (t) = 27 seconds
Q: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…
A:
Q: A motor cycle driving on Washington Avenue by UAlbany travels 35.0 m in 8.90 s while uniformly…
A: The final velocity of the motorcycle, vf = 2.10 m/s The time interval, t = 8.90 s The distance…
Q: A kangaroo can jump over an object 2.48 m high. (a) Calculate its vertical speed (in m/s) when it…
A: (a) Write the kinematic expression for final velocity
Q: A frisbee is thrown up into the air in a straight line, reaches its max height, then falls until it…
A:
Q: The graph shows the displacement, Ax, of a walking man as a function of time. 2. 12 8 (m) 4 4 6. t…
A: Given Displacement time graph of an object Concept Velocity = Rate of change of displacement…
Q: A basketball is thrown and the motion is given by the equation h(t)=16t^2+32t+4ht=16t2+32t+4, where…
A:
Q: A basketball referee tosses the ball straight up for the starting tip-off. At what velocity (in m/s)…
A: Given: The height attempt by the player is 1.22 m. The motion of the ball in the vertical plane.
Q: An engineering physics student conducted an experiment on free fall motion by launching a toy rocket…
A:
Q: A particle's velocity is given by vlt) = -atj, where a = 0.725 m/s? is a constant. (a) Describe the…
A: (a)
Q: In a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in th…
A: Given: The initial velocity of the puck is 8 m/s. The final velocity of the puck is 40 m/s. The time…
Q: A brick is dropped from the roof of a tall building. After it has been falling for a few seconds, it…
A:
Q: What amount of time does it take an object to come to a stop if is initially traveling at a rate of…
A: Initial velocity is Since object comes to stop so final velocity is Displacement of object is…
Q: bag is thrown vertically upwards, it takes 1.02 s to reach the highest point, with what speed is it…
A: Using equation of motion we can solve this problem
Step by step
Solved in 4 steps
- During a test, a rocket travels upward at Va = 60 m/s and when it is Sa = 20 m from the ground its engine fails. Determine the maximum height Sb reached by the rocket and its speed just before it hits the ground. use 2 decimal places.a stone is dropped at rest from a height of 90 m, how many seconds does it take for the stone to hit the ground? answer=4.29 s how do we arrive to this?An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?
- An airplane starts its takeoff by moving at 2.6 m/s. The plane must then accelerate at 3.0 m/s2 for the next [t] 30 s to reach its final takeoff speed. To the nearest tenth of a kilometer, how far does the plane travel while accelerating to its takeoff speed?Please AsapThe height (feet) of an object moving vertically is given by s = - 16t + 208t + 156, where t is in seconds. Find the object's velocity at t= 5, its maximum height and when it occurs, and its velocity when s = 0.
- solve the following exercise(a) Calculate the height (in m) of a cliff if it takes 2.19 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.06 m/s. (Enter a number.) 5.8 m (b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.)A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall between t=0.3s and t = 1.4 s? Use Galileo's formula u(t) = 32t fus. Answer: ft.
- Answers should be in 3 decimal places. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is 4m/s. Find the velocity (in m/s) after 6s.A marching band player walks directly north at a speed of 2.50 m/s for a time of 12.0seconds, turns 35.00to the east and walks at half that speed for another 15.0 seconds.What is the players total displacement and average velocity for the entire trip?