A 8 kg mass is attached to a spring (K = 6N/m) as shown. K = 6 N/m F(t) = 3t2 + 18t M = 8 kg a) Calculate the displacement as a function of time. b) What is the velocity of the mass at t = 4 seconds?
Q: The graph shows vx vs. t for an object moving along the x-axis. Vx (m/s) 40 20 2 4 6 8 10 12 14 t(s)
A:
Q: 3. Change of amount of bacteria is expressed by law N = t² + 2t. Find velocity of their reproduction…
A:
Q: The position of a particle in cm is given by the function s(t)=2t^2-8t+1 where t is in seconds and t…
A:
Q: The pace at which a caterpillar climbing a leaf slows from 0.85 cm/s to 0.42cm/s is -0.02cm/s5. How…
A:
Q: A particle’s motion along the x-axis is given by the equation x = 2t2 - 3t, where x is in cm and t…
A: Part A: Given A particle’s motion along the x-axis is given by the equation x = 2t2 - 3t, where x is…
Q: 2. Enter the data below into an Excel chart. The chart below gives information on velocity as a…
A:
Q: y_large (cm) 100 50 -50 о 0.1 0.2 0.3 time (s) 0.4 0.5 0.6 0.7
A:
Q: To settle an argument Dr Goulding and his Mrs (his wife) decide to have a 40.0 m long snowshoe race,…
A:
Q: The pace at which a caterpillar climbing a leaf slows from 0.52 cm/s to 0.28cm/s is -0.03cm/s5. How…
A: In the question, there is a typo. The unit of deceleration should be cm/s2 instead of cm/s5.…
Q: IUWGZ A bullet moving 170 m/s strikes a brick wall and comes to rest 3.6 cm inside a brick. If the…
A: initial velocity of the bullet (u) =- 170 m/s final velocity (v) = 0 m/s displacement(d) = -3.6 cm =…
Q: Find the velocity of v1. v1=(m+M)/m *(Square root of. (2*gh) m= 60 g. g= 980…
A: Write the equation for the velocity v1.
Q: Q1: The motion of Partic X =Y sinœ Cos Ø sin œ SinØ 最人 Oso 人こ Z find T
A:
Q: For the following motion equation s=2t^3 -15t^2+36t-22, t⩾0 a. When is the particle at rest?
A:
Q: A street ball is dropped onto a hard floor from a height of 16.1 m and rebounds to a height of 1.34…
A:
Q: Juliet drops a 0.25 kg grapefruit from the 3rd-floor balcony (10 m high), into Romeo's waiting hands…
A:
Q: v (m/s) [N] vs t (s) 15 10 -5 -10 10 15 20 25 30 t (s) INI (s/u) A
A: The solution can be given as follows :-
Q: he pace at which a caterpillar climbing a leaf slows from 0.40 cm/s to 0.32cm/s is -0.02cm/s5. How…
A: Given: The initial velocity is 0.4 cm/s The final velocity of the object is 0.32 cm/s. The…
Q: The coordinates of an object moving in the xy plane vary with time according to the following…
A: The coordinates of the positions of an object are given by,
Q: The circus rehearses an idea to spice up the act. When the acrobat steps off, a bunch of plastic…
A: Given that:The distance between trampoline and bore of the cannon: d=18 mIntial velocity of bunch of…
Q: Distance travelled (cm) 120 100 80 60 40 20 0 0 the data collected the students. Distance travelled…
A: From the given data, it is clear that, if the average spring length is small, then the distance…
Q: A motion that is given an initial velocity and follows a path under the influence of gravity. a.…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- A weight is oscillating up and down on spring. It's displacement from rest is given by the function d(t)=sin6t-4cos6t, where d is in centimetres and t is time in seconds. a. what is the rate of change of the displacement after 1s b. Determine the maximum and minimum displacements and when they first occur.Mass m of the object: A. It is the property of the object defined as its resistance to be moved and is conserved B. Is a scalar quantity with the unit (SI System): [kg] C. Changes, depends on the object’s location D. Only A. and B. are correctQuestion 4 A stretched string of length 50 cm is plucked a quarter of the way along its length to give an initial velocity of 10 m/s. Find expressions for the coefficients an and bn. a. an = 0 bn = 0 -0.5 b. an = 0.25 y(x,0) sin(kx)dx, b₁ = 0 4 0.5 = c. an = 0, bn foy(x,0) sin(kx) dx @n 4 -0.5 d. an = So y(x,0) sin(kx) dx, y(x,0)sin(kx)dx Wn b₁ =0.255 0
- We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of flight between subsequent bounces, but not the velocities before and after each impact. Question 1 a. Using the kinematics equation for position, find a relationship between the time of flight tn and the velocity of the ball after the nth bounce. You should obtain a quadratic equation that has two solutions for the time tm, but only one of them represents the time of flight. b. Using the kinematics equation for velocity and the relationship determined in the previous step, find the relationship between the velocity right after the nth bounce and the velocity right before the (n +1)th bounce? c. Given your answers to the previous parts of this question and the definition of €, find the coefficient of restitution e in terms of the subsequent times of flight tn and tr+1.ax (m/s/s) 6 4 N O -2 -4 0 2 4 6 8 t(s) 10 12 14 16 A motorcycle starts from rest and accelerates as shown in the figure. a) Determine the motorcycle's velocity at t = 14 S. Submit Answer Tries 0/10 b) Determine the net displacement in the first 14 s. Submit Answer Tries 0/10Determine the acceleration of gravity g using your (a) position versus time graph equation (b) velocity versus time graph equation. A Equation: y=-4.2238t^2-1.2466t+1.0791 B Equation: y=-8.152x-1.2934
- travel Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v-20 mm/s to collar Cand causes pin P to along the smooth slot. The velocity of collar Cis decreasing at a rate of 5 mm/s² at the instant in question. Determine the values of 7 and 0, wherer-OP, if h-205 mm and x-165 mm. Answers: WAAAAA mm/s² rad/2W Mot X DThe X G dece X x C G dece x S S Stud X E Grac X Grac XE Grac X G mot X G net X G g to X Revi X a classroom.google.com/u/0/c/M]Y4MTUXMDQ3MZQZ/a/MzExODMzNzQwOTQw/details c) What is the average velocity of each car for the first 10s? 4. A car is travelling at 10 m.s when the driver sees a police car. The driver brakes and decelerates at 4 m.s for 2 seconds. After 2 seconds of braking, the driver is confident that the police have not seen him so speeds up again to his original speed in 4 seconds and then maintains his original speed. 10 6. 8. 7. 5. 41 2. 1. 0 1 2 3 4 5 Time (s) a) What is the acceleration when the driver is speeding up again? 9. 7 8 9 10 b) What is lowest instantaneous velocity of the car and at what time does it occur? c) What is the displacement of the car travel under braking? Type here to search 6, 3. Velocity (m/s)