If the velocity of a body related to displacement x is given by v= √√5000 + 24x m/s, then the acceleration of the body is...... m/s².
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- The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. (Figure 1) shows the speed of one of its mandible jaws versus time in microseconds. What is the magnitude of the maximum acceleration of the ant's mandible? The mass of a trap-jaw ant's mandible has been estimated to be about 1.1×10−7kg1.1×10−7kg. Estimate the maximum force exerted by one mandible.A muon (an elementary particle) enters a region with a speed of 5.45 x 106 m/s and then is slowed at the rate of 1.30 x 1014 m/s². (a) How far does the muon take to stop? m (b) Graph x versus t for the muon. x (m) 0.12 0.10 0.08 0.06 0.04 0.02 O 0.12 0.10 0.08 0.06 0.04 0.02 O x (m) Graph v versus t for the muon. v (m/s) 6x106 5x10 4x10 3x106 2x106 O 1x106 10 v (m/s) 6x10 5x10 4x106 3x106 2x106 1x106 10 Enter a number. Additional Materials 10 20 10 20 20 30 20 30 6x 10p 5x10 LL 4x106 3x10 2x10 1x106 t (ns) 30 40 30 40 40 t (ns) 40 t (ns) t (ns) O x (m) 0.12 0.10 0.08 0.06 0.04 0.02 O x (m) 0.12 0.10 0.08 0.06 0.04 0.02 v (m/s) v (m/s) 6x10 5x10 4x106 3x106 2x106 1x106 10 10 10 20 10 20 20 30 20 30 30 30 -t (ns) 40 40 40 40 t (ns) t (ns) t (ns)A car is initially traveling at a rate of 65 feet per second. The acceleration of the car is 3 feet per second squared. Determine the displacement of the car at time t if the displacement at t=5 seconds is 29 feet. Do not include "s(t)=" in your answer.
- A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?In the presence of friction, the descending velocity v of the particle is determined as follows. mxdv/dt = mg-yv ap m =mg -yv dt (a) Predict v through dimensional analysis. (b) Solve the differential equation directly and compare it with the dimensional analysis. please. help...A proton initially has v = 6.0 î - 3.0 ĵ + 4.0 k and then 4.0 s later has v = -3.0 î - 3.0 ĵ + 4.0 k (in meters per second). (a) For that 4.0 s, what is the proton's average acceleration aava in unit-vector notation? m/s? î + m/s? ĵ + m/s² k (b) For that 4.0 s, what are the magnitude and direction of aavg? m/s? ° (from the +x axis in the xz plane)