If x is measured in meters (m), t is measured in seconds (s), and u is measured in meters per second (m.s-1), what are the units of the constants c1 and c2 in the equation knowing that units must balance on both sides of the equation. u2 = c1 u2 + 2 c2 x ?
C1has no unit and C2 has the unit m2.s-2
C1 has the unit m.s-1 and C2 has the unit m
C1 has the unit m and C2 has the unit m.s-1
C1 has no unit and C2 has the unit m.s-2
If x is measured in meters (m), t is measured in seconds (s), and u is...
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s speed m/s f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s...
Given position x = 2t + 5t2 (where x is in meters and t is in seconds): A. Calculate the average velocity over the time interval t = 1 s to t = 4 s. Units: m.s-1 B. What is the instantaneous velocity at t = 4 s? Units: m.s-1 C. What is the acceleration of the object? Units: m.s-2 D. In which direction is the object accelerating?
Suppose A = B^xC^y, where the units in meters and seconds of A, B, C are respectively m.s, m2/s, and m.s2. Then the exponents x and y have the values: A) 2/3 ; 1/3 B) 4/5 ; -1/5 C) 1/5 ; 3/5 D) 2 ; 3
QUESTION 4 Given the equation y = mx+b, if y has units of meters/seconds, x has units of meters and m has units of 1/seconds, what units must b have? seconds/meter meters seconds meters/seconds 2. You measure 10 trails of the time it takes a snail to travel 2 cm. You find the average and the standard deviation of these trials. What are the units on the standard deviation? cm^2/counts cm counts/cm cm/counts
A distance x is given by x=At^3+B/t. If x is to be found in meters and time, t, is always measured in seconds find the units of the constants A and B.
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and y are in meters, and t is in seconds. A. The amplitude. Units: m B. The wavelength. Units: m C. The frequency. Units: Hz D. The maximum transverse velocity. Units: m.s-1
Q1) A one-dimensional conservative potential is given by U(x)=7x2J, with x measured in meters. If a 4kg particle starts at x=1 with a velocity of +10m/s, how fast will it be going when it reaches x=2 meters? please explain how you solved for this. Q2) A hand grenade has a mass of 6kg and it explodes into three pieces each of the same mass. Two of them go off, each with a speed of 17m/s with an angle of 60°...
(8 pts) In this problem you will solve the non-homogeneous differential equation y" + 9y = sec (3x) (1) Let C and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 9y = 0 is the function yn (x) = C1 yı(2) + C2 y2(x) = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(x) + C2g(x) + C19(x) + C2 f(x). (2) The particular solution yp(x)...
(1 point) A stone is thrown from a rooftop at time t 0 seconds. Its position at time t (the components are measured in meters) is given by r()-бі-50+ (24.5-49:2) k. The origin is at the base of the bulding, which is standing on flat ground. Distance is measured in meters. The vector i points east,j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds (c) Where...
A velocity field is defined by u=(9x)m/su=(9x)m/s and v=(2t)m/sv=(2t)m/s, where tt is in seconds and xx is in meters. Part A What is the equation of the pathline that passes through point (6 mm , 3 mm ) when tt = 1 ss? What is the equation of the pathline that passes through point (6 , 3 ) when = 1 ? y={(16ex/9−1)2+3}my={(16ex/9−1)2+3}m, where xx is in meters. y={(16lnx9+1)2+3}my={(16lnx9+1)2+3}m, where xx is in meters. y={(19ex/6−1)2+2}my={(19ex/6−1)2+2}m, where xx is in meters. y={(19ex/6−1)2+3}my={(19ex/6−1)2+3}m, where xx...