1. What is the magnitude of the average acceleration of a skierwho, starting fro

Question

1. What is the magnitude of the average acceleration of a skierwho, starting from rest, reaches a speed of 6.6 m/s when going down a slope for 2.6 s?
1 m/s2
How far does the skier travel in this time?
2 m

2. A cart is driven by a large propeller or fan, which canaccelerate or decelerate the cart. The cart starts out at theposition x = 0 m, with an initial velocity of +5.5 m/s and a constantacceleration due to the fan. The direction to the right ispositive. The cart reaches a maximum position of x =+12.5 m, where itbegins to travel in the negative direction. Find the accelerationof the cart.
1 m/s2

3.ssm A runneraccelerates to a velocity of 5.25 m/s duewest in 3 s. His average acceleration is 0.647 m/s2, also directed due west. Whatwas his velocity when he began accelerating?

Explanation / Answer

1(a) [V(f) - V(i)]/t =(6.6-0)/2.6 = 2.54 m/(s^2) (b) V(f)^2 = V(i)^2 + 2ad 43.56 = 0 + 2*2.54d d= 43.56/5.08 = 8.57 m 2. a=(5.5^2)/(2*12.5)= 1.21 m/s^2 3. v = 5.25 - (0.647)*(3) = 3.309 m/s

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