Starting from a pillar, you run a distance 140m east (the + x-direction), then turn around. 
(a) How far west would you have to walk so that your total distance traveled is 300m?
(b) What is the magnitude and direction of your total displacement?

When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equationwhere P = 3.6 ✕ 10⁴ watts is the car's power output, m = 1200 kg is its mass, and v𝓍 is in m/s. That is, the square of the car's velocity increases linearly with time.a. Find an algebraic expression in terms of P, m, and t for the car's acceleration at time t.

CALC. A car's velocity as a function of time is given by v_x(t) = α + βt^2, where α = 3.00 m/s and β = 0.100 m/s^3. (c) Draw v_x-t and a_x-t graphs for the car's motion between t = 0 and t = 5.00 s.

A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is x(t) = 50.0 cm + (2.00 cm/s)t − (0.0625 cm/s2)t2. (e) Sketch graphs of x versus t, υx versus t, and ax versus t, for the time interval t = 0 to t = 40 s.

A rubber ball bounces. We'd like to understand how the ball bounces.a. A rubber ball has been dropped and is bouncing off the floor. Draw a motion diagram of the ball during the brief time interval that it is in contact with the floor. Show 4 or 5 frames as the ball compresses, then another 4 or 5 frames as it expands. What is the direction of a during each of these parts of the motion?

The figure shows two vectors. Which choice best represents $\stackrel{\rightharpoonup }{A}-\stackrel{\rightharpoonup }{B}$?

Seen from above, Linda runs $5.0\mathrm{m}/\mathrm{s}$ 30° north of east. What is the x component of her velocity?

If $\stackrel{\rightharpoonup }{A}=3\widehat{i}-2\widehat{j}$, $\stackrel{\rightharpoonup }{B}=2\widehat{i}$, and $\stackrel{\rightharpoonup }{C}=2\stackrel{\rightharpoonup }{B}-\stackrel{\rightharpoonup }{A}$, what is $\stackrel{\rightharpoonup }{C}$?

Draw a pictorial representation for the following problem. Do not solve the problem. What acceleration does a rocket need to reach a speed of 200 m/s at a height of 1.0 km?