16) An object is thrown into the air and its position can be modelled by s(t)...
Given that s(t) = - 4.9t2 + 125t represents the distance (m) of an object from the ground, t seconds after it was thrown in the air, determine when the object reaches the ground. t= 27.5 s a. t = 20.5 s Ob. t= 25.5 s Oc. t= 26.7 s d. t= 22.5 s Oe. Of. t=23.55 Given that s(t) = -4.9t2 + 132t + 20 represents the distance in meters from the ground t seconds after an object is...
The pathway of a ball thrown in the air is modelled by the equation 5y = - 4x2 + 40x, where y represents the ball's height in metres after x seconds. The ball will reach its highest point at the vertex. a) Solve the equation - 4x² + 40x = 0 and hence find when the ball strikes the ground. (b) Find the vertex of your equation. c) Graph your function. (d) Find the maximum height that the ball will...
the position, velocity and acceleration graphs for an object in freefall (no air resistance) if it starts at 10 m high and thrown straight up with a velocity of 8.0 m/s Make sure the graphs are to scale and the time scale is the same for all three graphs Put a few numbers on each vertical axis and on the time axis. (Use g 10 m/s?) 1. Draw y(m) t(s) v(m/s) t(s) a(m/s') t(s)
Ba Example 2-16 Ball thrown upward A woman throws a ball upward into the air with an initial velocity of 15.0 m/s. Calculate: (a) How high it goes (b) The time for the ball to reach its maximum height Ignore air resistance. 2-7 Freely Falling Objects Example 2-16 Ball thrown upward A woman throws a ball upward into the air with an initial velocity of 15.0 m/s. Calculate: (c) How long the ball is in the air before she catches...
When does an object that is thrown into the air reach its maximum potential energy? When does an object that is thrown into the air reach its maximum kinetic energy?
An object shot into the air follows the path given by F(t) = (at, bt – 4.9t2) m with t in seconds and a and b are unknown physical constants. y (m) 500 m/s 30° (m) The launch velocity is 500 m/s at an angle of 30°. What is the total distance traveled through the air? Be accurate to within 10 meters. 22092.5 m x
From a clifftop over the ocean 592.9 m above sea level, an object was shot straight up into the air with an initial vertical speed of 94.08 ms. On its way down it missed the cliff and fell into the ocean, where it floats on the surface. Its height (above sea level) as time passes can be modeled by the quadratic function f, where f(t)=−4.9t2+94.08t+592.9. Here t represents the number of seconds since the object’s release, and f(t) represents the...
if an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h = -16t^2 + vt + s If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by h16t2 +vt+s (where h and s are in ft, t is in seconds and v...
A stone is thrown upward with 10.0 m/s at t=0. Assume there is no air resistance. a) Which direction does the object move at t=1.50 s? b) Is the object slowing down or speeing up? Why?
Height of an object (h) which is thrown vertically with the speed of V0 at each time (t) can be calculated by the following formula: In a scripts create an anonymous function to calculate h at each time t for the value of g=9.81 m/s2 and V0 = 65 m/s. Also plot the height versus time and use fzero to determine the time when the object hits the ground.