3. If you throw one object upward with an initial speed of 4m/s at 1.5m above the ground, find a) the total time of flight for this free fall motion, b) the final velocity just before touching the ground, and c) the maximum height with respect to the ground.
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- 10) A professional fireworks team shoots an 8-in. mortar straight upwards from ground level with an initial speed of 256 ft/sec. a. Write a function modeling the vertical position s(t)(in ft) of the shell at a time t seconds after launch. b. The spectators can see the shell rising once it clears a 768-ft tree line. From what period of time after launch is the shell visible?b. Prove that, the range, R the time of flight, T and the Maximum height, H by a projectile are respectively given by; vỷ sin² e R = (5/g) sin20 , T = (2v,sin®), and H = 2gA girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?
- A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground? Please type answertourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?9. A 6 feet tall cadet standing on the bridge of a ship throws a bolt vertically upwards with an initial velocity of 18 m/s. how a) high will it go? b)what is the time it takes to reach the maximum height?c( if the bolt misses the railing and goes down to the water below (which is he approximate to be 26 m in height from the railing) what is the total distance travelled by the bolt as it reaches the surface of the water? 10. A midshipwoman catches a ball 2.50s after throwing it vertically upward. With what speed did she throw it, and at what height did it reach
- 1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.An object is dropped (initial velocity is zero) from a height of 40 meters. Assume the acceleration due to gravity a=g=9.81 m/s^2. Calculate: a.) the object's final velocity just before it hits the ground b.) the time it took the object to hit the groundII. 1. The object is fired at a velocity of 20 m/s at an angle of 25 ° upward about the horizontal axis. a) What is the peak height that the object reaches? b) What is the total flight time (between starting and hitting the ground) of the object? c) What is the object's horizontal range (maximum x above ground) d) Find the magnitude of the object's velocity just before it reaches the ground.
- ea curved path particle moving alenge a has it's parametric equation : - 3+ ,Y=4C05 3t,2=5 siu 2t (a find te velocity at eny time 9. ) fin d th velocity at t=0A particle is moving in a straight line according to the position function s(1) = 1 - 612 +9t +5, 120, where s is measured in metres and t in se ɔnds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at 1 = 3? d) The particle brakes once. When does that happen? : e) Find the total distance travelled before braking occurs. (*YOU ARE THrowing an delicious chocalte into your friends mouht from across the room. thjey are 5m away and you throw with a speed of 7m/s. you throw overhead from 1m above their mouth and can perfectly control the angle at which you throw. what angle should you select to deliver the treat