The velocity of a moving particle depends upon time t as v =at+tic. Then dimensional formula...
1) The velocity in m/sec of a particle moving along the x-axis is given by the function v(t)= 2t2+ t+3,0sts6 Find the particle's displacement for the given time interval. A) 354 B) 180 C) 45 D) 81 1) The velocity in m/sec of a particle moving along the x-axis is given by the function v(t)= 2t2+ t+3,0sts6 Find the particle's displacement for the given time interval. A) 354 B) 180 C) 45 D) 81
2. The velocity of a particle moving along a horizontal line is given by v(t) = sin(t). Find the distance travelled by the particle from time t = 0 to t = 21. A. 0 B. 1 C. 2 D. 4 E. None of the above. 6. When you increase the side of a cube by 2%, by what percentage does the volume approximately increase? A % B.2% C.4% D. 6% E. 8%
6. A particle is moving on the line with velocity v(t) = 4t2 - 7t - 2 m/sec where 0 st 5a. Assume that at t = 0, the particles position is 0. a. (2pts) When is the particle at rest? b. (3pts) When is the particle moving in the positive direction for t > 0? C. (4pts) Find the distance traveled between the interval 1 st 33.
The position of a certain particle depends on time according to the following equation. t)25.3t 1.1 Here, x is in meters if t is in seconds. (a) Find the displacement and average velocity for the interval 3.2ssts3.6 s m/s (b) Find the general formula for the displacement for the time interval from t to t + At. (Use the following as necessary: t, and Δ&J (c) Use the limiting process to obtain the instantaneous velocity for any time t. (Use...
The position of a particle moving along the x axis depends on the time according to the equation x = ct3 - bt7, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s3 and 1.4 m/s7, respectively. From t = 0.0 s to t = 1.4 s, (a) what is the displacement of the particle? Find its velocity at times (b) 1.0 s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0...
The velocity of a particle moving in a straight line is given by v(t) = 2 + 2. (a) Find an expression for the position s after a time t. s(t) = + C (b) Given that s = 3 at time t = 0, find the constant of integration C. C = 1 Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.]
3 a)The table below gives the velocity v of a moving particle at time t seconds. Find the distance covered by the particle in 12 seconds using Trapezoidal rule and Simpson's a third rule. Find also the acceleration at t-2 seconds t (sec) V mls 2 4 6 8 10 12 16 34 60 94 136 (6marks)
The position of a particle moving along the x axis depends on the time according to the equation x = ct2-bt3, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t=0.0s to t=4.0 s, (d) what distance does the particle move and (e) what is...
v=(4 + + 2) m/s 1. The particle is moving with a velocity of v = (4 + 2) m/s, where t is in seconds. When t = 1 s, determine: (1) the magnitude of velocity, (2) the magnitude of acceleration, and (3) the position of the particle. (15 points) va (4+²+2) t= ls racom 6 m
(3) A body moving so that,at time t,it's mass is m, it's velocity is v and the resultant force acting on the body is F. Suppose that at this instant, a particle of mass om and velocity u coaleces with the body so that, at time ot, the body has the mass m + Sm and the velocity v + öv. Prove that Fma (v- D-u a. A body with initial mass rn is projected vertically upwards with speed where...