A potato is launched vertically upward with an initial velocity of 139 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) 36t2 + 150t F 2. (i) Find the velocity of the potato after 0.5 s ft/s (ii) Find the speed of the potato at 0.5 s ft/s (iii) Determine when the potato reaches its maximum height%= (iv) Find the acceleration of the potato at 0.5 s ft/s?

Q: A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet…

A: The speed of the balloon is dydt=20 ft/s2=VyThe distance between observer and launchingpoint, x=200…

Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

Q: The temperature, T°C of the air at height metres inside a blast furnace is modelled by the equation:…

A:

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: Derek and Sandy leave an intersection at the same time. Derek travels north at 5 ft/s and Sandy…

A:

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…