In a stunt being filmed for a movie, a sports car overtakes a truck towing a ramp, drives up and off the ramp, soars into the air, and then lands on top of a flat trailer being towed by a second truck. The tops of the ramp and the flat trailer are the same height above the road, and the ramp is inclined 11° above the horizontal. Both trucks are driving at a constant speed of 18 m/s, and the flat trailer is 13 m from the end of the ramp. Neglect air resistance, and assume that the ramp changes the direction, but not the magnitude, of the car's initial velocity. What is the minimum speed the car must have, relative to the road, as it starts up the ramp?
here,
theta = 11 degree
final speed , v = 18 m/s
s = 13 m
accelration , a = - g * sin(theta)
a = - 9.8 * sin(11) = - 1.87 m/s^2
let the initial speed be u
v^2 - u^2 = 2 * a * s
18^2 - u^2 = - 2 * 1.87 * 13
u = 19.3 m/s
the initial speed of car must be 19.3 m/s
In a stunt being filmed for a movie, a sports car overtakes a truck towing a...
In a stunt being filmed for a movie, a sports car overtakes a truck towing a ramp, drives up and off the ramp, soars into the air, and then lands on top of a flat trailer being towed by a second truck. The tops of the ramp and the flat trailer are the same height above the road, and the ramp is inclined 17° above the horizontal. Both trucks are driving at a constant speed of 13 m/s, and the...
HDT Truck Company HDT Truck Company has been located in Crown Point, Indiana, since 1910. Its only products— large trucks—are built to individual customer specifications. The firm once produced automobiles but dropped out of the auto business in 1924. The firm nearly went out of business in the late 1930s, but by 1940 its fortunes were buoyed by receipt of several military contracts for tank retrievers—large-wheeled vehicles that can pull a disabled tank onto a low trailer and haul it...