1
at the end of a downhill run, a skier of mass 80 kg slides up a rough slope at an angle of 10° to the horizontal,
to slow down. he arrives at the upward slope with an initial speed of 12 ms. the coefficient of friction
between the skier and the slope is 0.4. find how far up the slope he comes to rest, and show that he remains at
rest there without falling back down the slope.

The graph below shows the price of different numbers of mats at a store: a graph is shown. the values on the x axis are 0, 2, 4, 6, 8, 10. the values on the y axis are 0, 21, 42, 63, 84, and 105. points are shown on ordered pairs 0, 0 and 2, 21 and 4, 42 and 6, 63 and 8, 84. these points are connected by a line. the label on the x axis is number of mats. the title on the y axis is price in dollars. which equation can be used to determine p, the cost of b mats?

Lines b and c are parallel. what is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?