physics 180
posted by nabeelah .
a gazelle attempts to leap a 1.8 meter fence. assuming a 45 degree takeoff angle, what's the minimum speed for the jump?

recall that for a projectile motion, the maximum height that the object can reach is given by the formula,
h,max = [(vo)^2 * sin^2 (θ)]/(2g)
where
vo = initial velocity
θ = angle of release
g = acceleration due to gravity = 9.8 m/s^2
the unknown in the problem is vo. thus we just substitute the given in the formula:
h,max = [(vo)^2 * sin^2 (θ)]/(2g)
1.8 = [(vo)^2 * sin^2 (45)]/(2*9.8)
1.8*2*9.8 = (vo)^2 * (1/2)
34.2 = (vo)^2 * (1/2)
70.56 = (vo)^2
vo = sqrt(70.56)
vo = 8.4 m/s
hope this helps~ :)
Respond to this Question
Similar Questions

physics
An athlete executing a long jumper leaves the ground at a 27.0 degree angle and travels 7.89 m. What was the takeoff speed? 
physics
A fox fleeing from a hunter encounters a 0.625 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.75 m/s at an angle of 45.0°, beginning the jump 1.82 m from the fence. By how much does the fox clear … 
intro to physics
an athlete executing a long jump leaves the ground at a 28 degree angle and lands 7.6 m away. part a )what was the takeoff speed ? 
physics
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 9.3 m from the takeoff point. If the kangaroo leaves the ground at a 17.6 degree angle, what is its takeoff speed? 
physics
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 9.3 m from the takeoff point. If the kangaroo leaves the ground at a 17.6 degree angle, what is its takeoff speed? 
physics
A fox fleeing from a hunter encounters a 0.630 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.20 m/s at an angle of 45.0°, beginning the jump 2.18 m from the fence. How far does the fox clear the … 
Physics
A fox fleeing from a hunter encounters a 0.665 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.05 m/s at an angle of 45.0°, beginning the jump 2.17 m from the fence. By how much does the fox clear … 
physics
a gazelle attempts to leap a 2.1m fence. assuming a 45 degree takeoff angle, whats the min speed for the jump 
Physics
Yuvi is trying out for the track & field team and wants to give long jump a try. He currently can reach a distance of 5.90 m when leaving the ground at an angle of 30.0°. (a) What is his takeoff speed? 
PHYSICS
Yuvi is trying out for the track & field team and wants to give long jump a try. He currently can reach a distance of 5.90 m when leaving the ground at an angle of 30.0°. (a) What is his takeoff speed?