Acar with mass mc = 1263 kg is traveling west through an intersection at a magnitude of velocity of vc = 7.5 m/s when a truck of mass mt = 1524 kg traveling south at vt = 9.6 m/s fails to yield and collides with the car. the vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of μk = 0.5. how far, in meters, will the vehicles slide after the collision?

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?