A biologist studying the motion of bacteria notes a bacterium at position r 1=2.2i + 3.7j − 1.2k μm (1μm = 10-6). After 7.2 seconds the bacterium is at r2 = 4.6i + 1.9k μm. Given that the acerage velocity is equal to 0.33i - 0.51j + 0.42k. Calculate the magnitude of the average velocity.

An object located at ?⃗0 = (1, 1) ? is displaced by Δ?⃗01 = −2?̂ − 5?̂ ? The object is then displaced by Δ?⃗12 = 3?̂ + 2?̂ ? a) Draw a picture b) What is the final position (?⃗2) of the object? c) How far did the object travel during each displacement? (?: 5.39 ?; 3.61 ?) d) What is the total distance travelled by the object? (?: 9 ?) e) How far did the object end up from where it initially started?(?: 3.16?)

A point particle of mass m = 1.8 kg moves according to the position function: r(t) = xtai + ytbj + ztck, where t denotes time and x, y, z, a, b, and c are constants such that the exponents are positive integers and the position function has the dimension of length.  Part (a)  We can write the particle’s velocity function in the form v(t) = ntdi + otej + ptgk. Enter an expression for n in terms of x, y, z, a, b, and c.   Part (b)  The particle’s velocity function will have the form v(t) = ntdi + otej + ptgk. Enter an expression for d in terms of x, y, z, a, b, and c.  Part (c)  Here is a set of parameter values for the motion of the particle: m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2. Calculate the x-component of the particle’s angular momentum, in units of kg˙m2/s, about the origin at time t = 1 s.   Part (d)  Use the same set of parameter values (m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2) to calculate the y-component of…

A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 6.65 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?

7:31 a 4 O 0令ll回 10. The displacement of the object between t = 0 and t = 4 s is: (A) 22 m (B) 28 m (C) 40 m (D) 42 m (E) 60 m Velocity (mis) Time (b a e 11. The above graph represents the velocity as a function of time of a moving object. What is the net displacement between t = 0 s and t = 4 s? (A) Om (B) 16 m (C) 24 m (D) 36 m (E) 48 m Acceleration vs Time Time (s) a

3 1 3 4 5 t (s) What is the particle's acceleration at t = 4.5 s? 1 m/s^2 -1 m/s^2 -2 m/s^2 3 m/s^2 O 2 m/s^2 (s/w) A

The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 4 t (s) 1 2 3 4 5 6 7 8 -2 -4 -6 (a) 0 to 2 S m/s (b) 0 to 3 s m/s (c) 3 to 6 s m/s

at an instant in time a particles velocity is v = (2.00i + 1.00j) m/s, while it’s acceleration is a = -1.00i m/s^2. at what rate is the particle speeding up / slowing down and what’s the radius of the curve on the particles trajectory

A particle starts from the origin at t=0 with a velocity of 7.9 j and moves in the xy plane with a constant acceleration of (4.01 +147) m/s².At the instant the particle's x coordinate is 29 m, what are (a) its y coordinate and (b) its speed?